From my notes:
James Lee "Long Jim" Cullum was age 14 on the 1880 White Co, AR census listed in the home of William Elijah Cullum and wife Mary Ann Porter. The Fayette Co, TN marriage record gives her last name as Porter, but Dacel Cullum Ogden was told by Vera Cullum Coe who lived all her life in the town with them and was very versed in family history that the correct name was Poteet.
You may have to do some digging to solidly prove the father of William Elijah Cullum. William Cullum age 23 with wife Mary 19 and John F 1/2 appear on the 1850 Fayette Co, TN census near Thomas Cullum and his son Matthew Cullum. So it has been assumed that William Elijah Cullum's father was Thomas Cullum. That part needs more work.
Thomas Cullum b 1803 GA d 1860-70 White Co, AR. Wife Mary P "Polly" McGaugh. Married 10-22-1823 Monroe Co, MS.
His father was another Thomas Cullum b ca 1768-1774 Surry Co, VA - moved to Halifax Co, NC 1777-1780 with his parents. Wife Charity -?- (possibly Hux). Later moved to Oglethorpe Co, GA where he left his will:
WILL OF THOMAS CULLUM Oglethorpe Co, Ga WB A:161-162
written 10/3/1805, recorded 1/27/1806
In the name of God amen ----
I Thomas Cullum Being infirm of body But in perfect sence & memory doconstitute and acclaim this my last will & testament -?- manner & formfollowing, that is to say -?- my soul to almighty God, beging his acceptance thereof -- Respecting my worldly Estates, --
Item, I give to my beloved wife - Charity Cullum, & my three children namly Betey Cullum, William Hux Cullum and Thomas Cullum after my just debts are paid, all my estate Both real and personal consisting of one hundred & eighty seven acres ---?-it -?-same whereon -?-- and three head of horses & five head of cattle & three feather beds & furniture and all the balance of the household & kitching Furniture, & a horse cart & all the plantation utensals to be Equally divided amongst them as they come of age or marry. - Lastly I nominate my trusty friends John Stewart & William Stewart my Executors to this my last will & testament, ---
Given from under my hand this third day of October one thousand eight hundred & five --
signd & sealed in )Thos. Cullum (seal)
presents of ---)----?--- Oglethorpe County
Reubin Glaze)Ordinary Office
Recorded 27th day of January 1806
M A --?--, Clk
A biography of John G Cullum, son of William Hux Cullum, indicates William Hux Cullum was born in NC - so we know his father Thomas Cullum must have come from NC.
Part of this biography:
John G Cullum has been one of the foremost farmers of Pope County, Ill. for over half a century, and during this time he has made many friends who respect him for his upright character, his kindness of heart, his charity for the faults and failings of others, and his broad and intelligent views on all subjects. He was born in Williamson County, Tenn., April 12, 1835, his father being William H Cullum, a native of North Carolina, who was born September 12, 1799. The latter was a wagon-maker, a chair-maker and a farmer, and although he never learned any trade he was naturally handy with tools.
The name Hux is a well-known name in Halifax Co, NC - as is Cullum. The 1800 census of Halifax Co lists a Thomas Cullum with 1M 26-45, 1F 16-26, 1M under 10, 1F under 10. The son was William Hux Cullum and the daughter was almost certainly Betey Cullum. The son Thomas Cullum was born later - about 1803. His 1850 census gives his age as 47 b GA.
Thomas Cullum who moved from Halifax Co, NC to Oglethorpe Co, GA was the son of William Cullum Sr and first wife Amy Hicks/Hix as proven by William Cullum Sr's Halifax Co will written 1809 but not proven until 1822. "Item: I give to my son Thomas Cullom five shillings to him and his heirs." Either William Cullum Sr wasn't aware of Thomas's death or chose this method of including Thomas's family.
William Cullum Sr was son of Thomas Cullum Sr and Elizabeth Johnson of Surry/Sussex Co, VA as proven by the Albemarle Parish records.
Elizabeth Johnson was daughter of William Johnson Sr and Phoebe -?- (possibly Pettway) of Surry Co as proven by his will. The parents of Thomas Cullum Sr have not been determined.
All of this can be solidly proven except for William Elijah Cullum as the son of Thomas Cullum. If you dig through estate records, deeds, court records, etc, you can probably find the proof you need to make that link solid.