You may want to try and get in touch with Mary Gregory, who occasionally posts here on GenForum. She is a gr-grandaughter of Julian Rockett Abernathy.
This is not my direct line, however from email correspondence with Mary and various other sources, my database does have quite a bit on Julian and his lineage.
Julian Rockett Abernathy was a son of Sterling Gibb Abernathy and his 2nd wife, Agnes Minerva Webb (Mrs. Cravens), who was a daughter of James Webb and Elizabeth Fitts. Julian was born in Oct 1866 and died 14 Apr 1919. He married Loula Lenore Martin, a daughter of Chester Martin. She was b. 1 Jan 1870 in Calhoun Co, Arkansas and died 11 Apr 1931. Julian and his wife are both buried in the Rick Cemetery in Harrell, near Hampton, in Calhoun County, Arkansas.
Robert L. Gatewood's "A Rockett-Abernathy Genealogy" on p. 99 lists 13 children for Julian and his wife, but gives data only on one. The children listed are: Hosea B. Abernathy, Jessie Abernathy, Olivia Abernathy, Otis Abernathy, Ray Abernathy, Pearl Abernathy, Irene Abernathy, Boyd Abernathy, Mamie Abernathy, Edna Abernathy, Gertrude Abernathy, Mary Ruth Abernathy, and Dean Abernathy. Birth/death data is given by Gatewood only on Dean (b. 28 Jun 1912 d. Nov 1936).
Sterling Gibb Abernathy was born 9 Oct 1809 in Lincoln County, NC, a son of William Abernathy and Sarah (Sally) Melvina Rockett. Sterling first married in Jefferson Co., Al in 1835 and later moved to Calhoun Co., AR where he died 27 Feb 1888. By his first wife he had 9 children, all of whom evidently left issue. Sterling, both of his wives, and many of thier children are buried in the Rick Cemetery in Calhoun County.
Sterling was the 2nd of 11 children born to William Abernathy (1776-1846) and Sarah Melvina Rockett (1790-1847), who moved from Lincoln Co., NC to what is now Pontotoc Co., MS, where both died and are buried.
There is some question as to precisely which of the many Abernathy heads of household found in Lincoln County NCafter the Revolution this William was a child of. Gatewood's genealogy (p. 493) cites William Abernathy as a son of Robert (5th) Abernathy (1742-1832) and Ann Nantz. The father of Robert (5th) was Robert (4th), son of Robert (3rd), grandson of Robert (2nd), and gr-grandson of Robert (1st) whom we know to have arrived in the Virginia colony sometime in the early spring of 1652.
There ia a theory, as yet unsubstantiated by unimpeachable evidence, that Robert Abernathy of Charles City County, VA had been a Royalist fighting with the Scottish forces against Cromwell's government in the British Civil War that ended with the Restoration of the Monarchy in 1660. Robert was presumably captured at the Battle or Worcester (Sep, 1651). It is known that some of the Scottish Prisoners from that Civil War were ordered by Cromwell's government to be transported to the Colonies, but little documentary evidence survives that might list the specific individuals and to which colony they were sent. The circumstances of Robert's arrival here certainly point strongly to his having been one of those brave Scotsmen, so many of whom died in the Battles at Dunbar or Worcester.
The Gatewood Genealogy was published in 1969 in Conway, Arkansas, and available via microfilm from a local LDS Family History Center, call # 973015, item 1, but it doesn't give a lot of personal details of the character or accomplishments of the many individuals listed in it's 500+ pages, just names, dates (sometimes) and who their parents were.
To find out more about the life and times of Julian Rockett Abernathy, one might wish to investigate Calhoun County, Arkansas, where Julian was born, raised, and died.