He was my great-grandfather. My grandfather was Willie Lee Beckum which was Louie Thomas Beckum's brother.
I have done some research and found his William Jackson mother's name was Charity. I am pretty sure his father's name was William W. Beckum (Beckham/Becham) from Crawford Co., GA. His father had been married twice with Charity his second wife. His sisters were: Sarah, Josephine, Mary, Fannie, Elizabeth, Azaline, and brothers: John and Thomas Allen. I don't have any information about a sister Florence but perhaps that was a nickname for one of the girls I have listed.
I have more information on the family if you would like it.