Evidently David moved to Kentucky before he was married with his father and brothers, between 1794 and 1799. He was on a list of Kentucky Militia, "Commissioned Officers, 1799-1804" as "David Spurlock, Lieutenant, 56th Regiment."
This following entry was from Annals of Southwest Virginia 1769-1800 by Summers; though it doesn't seem likely to be the same David since he would have been only 11 years old! --
Dec. 1, 1794 "David Spurlock was appointed overseer of the road from the Merry Fork of Greasy Creek to the Grayson Line." (George Hancock was mentioned in the same record; probably Susanna's uncle)
Maybe his name was David Drury Spurlock.

He was 21 when he married Susanna Hancock about 1804 probably in Kentucky.   
Dec. 1808 David bought 50 acres in Beaver Creek from David Morgan (his sister's father-in-law) for 30 pounds.
August 1810 he and Susanna bought 100 acres on Beaver Creek for $250.
Sept 1815 David bought 75 acres on Beaver Creek from John Spurlock for $500.

For some reason David and his family do not appear on the 1810 Ky. census, but in 1820 they were in Floyd Co, Ky. along with 3 other Spurlock heads of families: Matthew & Hiram (David's brothers) and Francis .  
David's family on the 1820 census: 220010-02110 - translated to mean:
2 boys under 10 - [Wm. David (8), David Jr. (2)]
2 boys 10-16 - [Pleasant (15), & ?  ]
1 man 26-45 - [David Sr (37)]
2 girls 10-16 - [Rhoda (12), Frances (6)]
1 girl 16-26 - [? ]
1 woman 26-45 - [Susanna]

In 1823 David owned 50 acres on the Louisa Fork of the Sandy River in Floyd County. In 1826 & 1829 he owned 50 acres on the Beaver Creek in Floyd County. Besides being a farmer David was also a carpenter.

About 1830 David took his family down the Ohio and Mississippi Rivers to Ark., where they first settled at a point in Arkansas opposite Memphis, Tennessee. Daughter, Rhoda, who had married in 1829, remained in Floyd Co, Ky.

In 1838 David was in Mooney township, Phillips County, Ark;
In 1840 they were in Crittenden County, Ark. (near Memphis).
Arkansas land records show land warrants for David Spurlock in Crittenden County, Ark:
Apr 10, 1837 - 40 acres (sec 9, twp/rng 8N 9E)
Jul 28, 1838 - 40 acres (sec 9, twp/rng 8N 9E)
Aug 20, 1838 - 80 acres (sec 9, twp/rng 8N 9E)
Oct 10, 1839 - 160 acres (sec 12, twp/rng 8N)

The family later moved north to a location between Hardy and Evening Shade in Sharp County, Ark. (then included in Izard Co.).
David Sr. died in 1846 in Evening Shade, Ark. Susanna lived with son, David Jr (1860 census) until her death.

Children:

1. Pleasant Spurlock
Pleasant was born in 1805 in Floyd Co., Ky. He married Bettie A. Seaborn and was in Floyd Co, Ky. in 1830, so perhaps they moved to Arkansas after his father. He was in Crittenden Co, Ark. in 1840. He died in 1861. Children:
1a1)    Matthew Spurlock; ch: Frankie (m Oliver Rogers)
1a2)    Houston Spurlock; never heard of after Civil War
1a3)    David Spurlock “Little Dave”, b Apr 18, 1839, Marion (or Clarkston), Ark. He had red hair; m 1st Lucy MacAdoo Webb (1849-98; 6 ch); m 2nd in 1852 to Mrs. Mary Sauer; m Loucinda Fergason (from Woods, Ark). He was in the Confederate Army during the Civil War; died Ash Flat, Sharp Co, Ark, July 7, 1924. Children:
. . . . .   1a3a)    Thomas Houston Spurlock, 1874-1948; m 1898 to Cora Murphy; lived in Hardy, Ark.
. . . . .   1a3b)    Julia Mae Spurlock, b 1879; m James A. Wright; lived in Sawyer, Okla.
. . . . .   1a3c)    Arthur Fillmore Spurlock, b 1882; m Elizabeth Dickerson; lived in hardy, Ark.
. . . . .   1a3d)    Cora Gordia Spurlock, b 1885; m 1906 to David R. Beasley
. . . . .   1a3e)    Amy Iola Spurlock, 1888-1936; m 1911 to Harmon Ritchie
. . . . .   1a3f)    Laura Gertrude Spurlock, b 1891; m 1911 to Garfield Soward
1a4)    Greer Spurlock, b 1841, Ark.; died in Civil War
1a5)    Evaline Spurlock
1a6)    Susan Spurlock


2. Rhoda Spurlock
Rhoda was born in 1808 in Floyd Co., Ky. She married Mar. 10, 1829 to Edward L. Osborn (b 1805, Va). They stayed in Kentucky when the rest of the Spurlocks moved to Ark. about 1830. She died in 1905. Children:
1b1)    Eleanor Osborn, b 1831
1b2)    Kips B. Osborn, b 1832
1b3)    David Osborn, b 1833 (named for his Spurlock grandfather)
1b4)    Susannah Osborn, b 1836 (named for her Spurlock grandmother)
1b5)    Sarah Osborn, b 1839
1b6)    Nancy Osborn, b 1841 (named for a Spurlock aunt)
1b7)    Samuel Osborn, b 1844
1b8)    Edward Osborn, b 1845
1b9)    Fanny Osborn, b 1848 (probably “Frances”, named for a Spurlock aunt)
1b10) John Osborn, b 1850 (named for a Spurlock uncle)


3. William S. Spurlock
William was born in 1812, Floyd Co, Ky. He moved to Arkansas at the age of 18 with his family. He married Eliza Greer.

4. Frances Spurlock
"Fanny” was born in 1814 in Floyd Co, Ky. She married 1st to ______ Spurlock (her cousin, probably a son of Matthew; 2 children); married end John Oyler (3 children). Moved to Tennessee. Children:
1d1)    Evelyn Spurlock
1d2)    Cy Spurlock
1d3)    Kate Oyler; m Andy Hyslip
1d4)    George Oyler, b 1851, Tn.
1d5)    Eliza Oyler, b 1854, Tn.


5. David Spurlock, Jr. - (pictures)
David, Jr. was born Dec. 15, 1818 in Floyd Co., Ky.  He moved to Ark. at the age of 12 with his family. He married Mary Morris Estes in 1847. David died in 1904 in Sharp Co., Ark.
1e1)    William Karr Spurlock, b 1848; m Martha Jane Rogers
1e2)    John Thomas Spurlock, b 1849; m Mattie Ann Murphy (pictures)
1e3)    Robert Archibald Spurlock, b 1852; m Elizabeth Phoebe Leverton
1e4)    David Drury Spurlock III, b 1854; m Mary Frances Rogers  (pictures)
1e5)    Martha Belle Spurlock, b 1856; m  Samuel J. Pinkney Murphy  (pictures)
1e6)    Eliza Frances Spurlock,  b 1858; m William Granville Endsley  (pictures)
1e7)    Mary Katherine Spurlock, b 1861; m Isaac Wiley "Ike" Foreman  (pictures)
1e8)    Nancy Drucilla Spurlock, b 1864; m Stephen Alexander Rogers   (pictures)
1e9)    Susan Rhoda Spurlock,  b 1867; m Rev. Joseph Martin Willard   (pictures)
1e10)  Joseph Benjamin Spurlock,  b 1872; m Ida Fortenberry  (pictures)


6. Jesse Spurlock
Jesse (boy) was born in 1820 in Floyd Co., Ky.  He probably died at as baby or child.


7. Nancy Spurlock
Nancy was born in 1822 in Ky. She moved to Ark. at the age of 8 with her family. In 1850 (age 28) she was living with her brother John and his wife Nancy. In 1870 she was living with her brother David and his wife Mary. She died July 22, 1882, unmarried.


8. Robert T. Spurlock
Robert was born in 1824 in Floyd Co., Ky. He moved to Ark. at the age of 6 with his family. He married Serena Simpson (b 1828, Tn; daug of Littleton & Christian Simpson). In 1850 Serena & son David were living with her parents; Robert had probably gone to California to mine gold, as some other relatives had done. Children:
1h1)    David Gilbert Spurlock, b 1848, Ark.; m Mary E. ?
1h2)    Susan F. Spurlock, b abt 1851; m Ben Stalnaker
1h3)    Sarah A. Spurlock,  1854-1938; m Bert Hardin & Francis Marion Thomas; children:
. . . . .  1h3a)    Luke Thomas, b 1891; m Lottie Morgan; ch: Melna (b 1919; m Merle Edelen), Maxine (b 1921; m Lowell M. Horton)
1h4)    John William Pinkney Spurlock, b abt 1856;  m Jane Rogers (5 ch) & Della (Sitze) Yates (3 ch); 8 children:
. . . . .   1h4a)    William R. Spurlock
. . . . .   1h4b)    Mary Spurlock, m John Thomas Reynolds; ch: Horace (1899), Forrest (1900), Jewell (d young), Sewell, Houston Thomas (1906), Lois, Eunice, Arlena
. . . . .   1h4c)    Theodore Spurlock, m Minnie Hyatt; ch: Palmer Benard (1908), Roland Miller, Ross Herman (1916), Frances Morene (m Maynard), Louise (m Shatgley)
. . . . .   1h4d)    Ashley Spurlock
. . . . .   1h4e)    Luther Spurlock
. . . . .   1h4f)    Jeff Spurlock, 1904-74; m Thelma ?; ch: John, Billy, Patricia, Ann
. . . . .   1h4g)    Asa A. Spurlock, b 1906; m Roxie Ratliff
. . . . .   1h4h)    Gladys Edna Spurlock; m ? Sellers
. . . . .   1h4i) Bertha Spurlock, m ? Walker
1h5)    James Buchanan “Jim”  Spurlock, 1858-1919; m Louisa Catherine “Crickett” Rogers; 10 children:
. . . . .   1h5a)    Alexander Matthew Spurlock, 1880-1958; m Belle Shelby; ch: Gilda Gail, Buena
. . . . .   1h5b)    Orpha Maybelle Spurlock, 1882-1921; m Jesse Norton
. . . . .   1h5c)    Arizona Marilda Spurlock, 1885-1944; m Marion Harris
. . . . .   1h5d)    Martha Matilda Spurlock, b 1887; m Lee Shannon
. . . . .   1h5e)    Margie Virginia Spurlock, 1889-1940; m Erbin Endsley
. . . . .   1h5f)    Bertha Ora Spurlock (d infancy)
. . . . .   1h5g)    Robert Denton Spurlock, 1892-1978; m Retha Harris; ch: Robert Dean, Roland Matthew, Laymon Glen, Avis LaFern, Joy Guylene, Doris Anne
. . . . .   1h5h)    John Wesley Spurlock, 1897-1969; m ? Johnson
. . . . .   1h5i)    Nanie Etha Spurlock, 1900-1970; m Luke Thomas (may be her cousin, #1h3a), & Walter Mann
. . . . .   1h5j)    Marie Wilma Spurlock, 1906-78; m Charley Mann
1h6)    Christie Elvina Spurlock, 1864-1936, m John A. Hogan & James Robert McClure; ch: Jennie Hogan & Luther McClure
1h7)    Simpson Lee Spurlock, b 1866 Ark; m Ella Windham; ch: Hester Serena, Odis P.
1h8)    Nancy “Nanny” Spurlock, b 1869-ca1940; m David Alexander Royal


9. John Spurlock
John was born March 1826 in Floyd Co., Ky.  He moved to Ark. at the age of 4 with his family.  He married 1st to Nancy Ann Lingo (1826-60; 7 children); married 2nd Anna Eliza Estes (1834-72; daug of Burris Estes, Jr. [Estes family #2d]; 4 ch). John died June 2, 1872; Anna Eliza died 4 months later, leaving a 3-month-old baby daughter.
Nancy’s children:
1i1)    Louisa Spurlock, b 1849, Lawrence Co., Ark.; m John Barnes
1i2)    Frances Spurlock, b 1850; m Rice Holt
1i3)    George W. Spurlock, b 1851; d 1910/11
1i4)    William Robert Spurlock, 1857-1940; m 1st Eliza Biggs (9 ch); m 2nd Ellen Burrow;

Eliza’s children:    
. . . . .   1i4a)    Eugene Spurlock, m 1898 to Annie Holt
. . . . .   1i4b)    Arve Spurlock, m Kit King
. . . . .   1i4c)    Era Spurlock
. . . . .   1i4d)    Ethel Spurlock, m Sol Collins (probably Solomon)
. . . . .   1i4e)    Connelly Spurlock
. . . . .   1i4f)    Arie Spurlock
. . . . .   1i4g)    John Hubert Spurlock, 1892-1967; m Mattie Lillian Holt
. . . . .   1i4h)    Virginia Spurlock
. . . . .   1i4i)    Virgil Spurlock, m Maggie Ragsdale
1i5)    Thomas Jefferson Spurlock, b July 31, 1854, Evening Shade, Sharp Co., Ark. He died in 1937, buried in Oaklawn Cem, Jonesboro, Craighead Co, Ark.  He married Nancy Kirkland on 3/07/1880 in Sharp Co, Ark. Courthouse records in Ash Flat, Ark, Book C:19 [Spurlock, T.J. (25) of Sharp Co and Kirkland, Nancy (18) of Sharp Co.  Married 7 Mar 1880 by M.B Armsted, J.D. Collins]. No record of any children.
1i6)    Virginia Spurlock, unmarried
1i7)    Stephen Burrell Spurlock, 1860-1940; m Emma Louisa Brown; children:
. . . . .   1i7a)    Leona Selma Spurlock; m T. Sanford Lunn
. . . . .   1i7b)    Sarah Frances Spurlock; m Chester Hartman
. . . . .   1i7c)    Esther Spurlock; m ? Wagner
. . . . .   1i7d)    Minnie Spurlock; unmarried
. . . . .   1i7e)    Nellie Irene Spurlock; m Harold Perry
Anna Eliza’s children:
1i8)    Charles Jeptha Spurlock, b 1863; unmarried; raised by uncle David Spurlock, Jr. (#1e)
1i9)    Martha Caroline Spurlock, 1865-94; raised by uncle David Spurlock, Jr.; m 1883 to Wm. Christopher Nicholson (Wm. m 2nd Martha M. Rogers & had 7 other children). Martha Caroline’s 5 children:
. . . . .   1i9a)    Stephen Foster Nicholson, 1884-1969; m Nannie Leonia Hansen
. . . . .   1i9b)    Lizzie Nicholson, 1886-1971; m Wm. Wallace Horton
. . . . .   1i9c)    Cora May Nicholson, 1887-1932; m Robert Bruce Horton, 1904
. . . . .   1i9d)    Audra Myrtle Nicholson, b 1889; m Ernest Jewell Wiles
. . . . .   1i9e)    Dona Ethel Nicholson, b 1891; m John Lee Weaver & Joe Qualls
1i10)     Nancy Drucilla Spurlock, b 1869; m Lemuel Frank Dixon, 1886. She was 3 years old when her parents died and was raised by friends, Jerry & Betsy Oyler; d 1934, Texas. 9 children:
. . . . .   1i10a)  Hettie Dixon, 1890-1917; m Melvin Eugene Hill; ch: Vaughn (m Elsie Spurlock, his 3rd cousin #1e4d6)
. . . . .   1i10b)  Paul Oris Dixon, b 1894, Tx; m Ella Belle Smith
. . . . .   1i10c)  Italia Gertrude Dixon, b 1892; single
. . . . .   1i10d)  Pearl Montigue Dixon, b 1896, Ark; m Miss Luthera Jones
. . . . .   1i10e)  Earl Jefferson Dixon (Pearl’s twin), b 1896; m Edith Rogers
. . . . .   1i10f)  Flora Drucilla “Dovie” Dixon, b 1902, Tx; m Ennis T. Fedric
. . . . .   1i10g) Gladice Lee Dixon, b/d 1905, Tx.
. . . . .   1i10h) Hazel Alice Lenora Dixon, b 1907, Tx
. . . . .   1i10i)  Vesta Glyn Dixon, b 1909; m Ernest H. Cook
1i11)    Eliza Matilda Spurlock, called “Johnny’s Eliza” (or Johnny Eliza), b July 4, 1872, Ark.  Her mother died 3 months after her birth (Oct.); her father had died 1 month before her birth (June 2). Her double cousin, Robert Archibald Spurlock (#1e3) carried her on a pillow on horseback from Kingsmill, Ark. (Sharp Co.) to Melbourne, Ark. (Izard Co.) to the home of their uncle Thomas Newton Estes (Estes family #2b) who raised her. She married Ruke A. Harmon, 1891; died 1953, Arizona.  10 children:
. . . . .   1i11a)  Leroy America Harmon, 1892-1980; m Sular Dexter Ator, 1912
. . . . .   1i11b)  Lydia Elizabeth Harmon, b 1894; m 1916 to Ellsworth Grant Barley; m 2nd Edison Troy Manchester
. . . . .   1i11c)     Marshall Newton Harmon, b 1906, Ark. m 1927 to Emma Trible; m 2nd Mrs. Gertrude Burden
. . . . .   1i11d)  William Burl Harmon, 1899-1972; m 1923 to Josephine Shields
. . . . .   1i11e)     George Alexander Harmon, 1901-78; m 1954 to Mrs. Cora Husted
. . . . .   1i11f)     Borden Ruke Harmon, 1904-58; m 1927 to Vera Menhennet
. . . . .   1i11g)  Walter Elvis Harmon, b 1906, Ark; m 1931 to Mary Beatrice Barnes
. . . . .   1i11h)     Harvey Hubert Harmon, b 1909, Tx; m 1928 to Eva Fenn
. . . . .   1i11i)     Westall Irwin Harmon, b 1912, Tx; m 1937 to Elna Smith
. . . . .   1i11j)     Vernon Boyd Harmon, b 1916, Ariz; m 1938 to Evelyn Turley (divorced); m 2nd Mae Harmon