Just this weekend I spoke to a cousin who is also a descendant of Mose and Matilda. His grandfather was the son of Mose, John Franklin, and his father is also named John Franklin, his name is Robin McRae.
He also confirmed that Mose's mother was named Mary, but we have no last name other than McRae that was on the 1870 census, but no maiden name. Going back further than Mary is going to be a tough task, but we have so much more that we can work on, and that is the three sisters of Mose, Mary, Ann, and Betsy. There list of descendants are going to be just as long and tedious as ours.
Robin also told me that he was told that Mose was a mixture of Caucasian and Indian. The census shows mulatto. Could it possibly be that their mother Mary was full-blood Indian and the father white, that is the likely story. I now need to research to see what tribes were in the area around 1825, when Mary was born, her maiden name would help as well.
There is still so much work to be done and I am steadily working on this and it is great.
There is a bit of an update to this information on the post about Matilda.