There is no indication of this. Google the “jefferson davis genealogy rice university” and you’ll get the starting point.
When I go to https://jeffersondavis.rice.edu/Genealogy.aspx
It shows descendants in the “Mary Ellen Davis” family continuing into the early 20th century and having 6 children here and some over there. Some of the other family branches do as well. I’m not a genealogist but it seems possible that she could be a child of someone descending and born in the not too early twentieth. The charts didn’t entirely make sense to me so I could be reading wrong.
As well ... Some of the possibilities I mentioned might fall into the known but politely not-documented.