I am from the Brazile/Jackson family. My father was Phillip Ray Jackson, who's mother was Hazel Janette Littlejohn (Jackson), who married Oszro Jackson. Her father was Harrison Elijah Littlejohn and mother was Lula Estelle Brazile. Lula's father was Robert Lee Brazile and mother was Anne Jane Kelly. I have no info on Robert but do have info on Anne's family. The Jackson's family ends at Oszro's father and mother. The one thing that I can't figure out is that Hazel Janette Littlejohn is buried with the name Williams?!
Anyway, I'm not sure how your Thomas J and Zellie A Brazile are linked, but hopefully I have help some. I'll continued to do research to see if they are connected. Hopefully you have the info you needed before now. Sorry just start research 1 year ago.
Thanks, Rae-An Jackson