Robert, I do not have much more info than you have, in fact, you have much more than I know/knew.
Anyway, my mother Francilla Mckee is the daughter of Ward and Roxie Mckee. Joy was my aunt, the older sister of Francilla. I know little of the family as I was raised by my father, Nelson Carter, but I did meet all of my mother's siblings somewhere along the line, most of them migrated to California by the 1950's. Don't know anything about the Choctaw connection, but young fotos of my mother has her looking much like a native american. Found this thread by accident, on a whim checked out the Mckee surname a few moments ago. Alon Carter, Albuquerque NM