James, In looking for Babb family information and finding your mention that Cherokee Bill saying that Mary Polly Oxford's folks were Boudinott and thought to Cherokee thus his name I guess. I found the following that might be of interest to you as to the name of Boudinot being Indian.
Article Title: The Philadelphia Inquirer Article Date: September 6 1871 Article Description: The Cherokee Indians Article Text: St. Louis, Sept. 5.--Colonel BOUDINOT, of the Cherokee Nation, in a recent letter to the Van Buren "Press," defines his position regarding the affairs of that nation. He says the proper policy to pursue in the premises will be the passage of an act by Congress to secure to Indians of this Territory:--
First. One hundred and sixty acres of selected land for every man, woman and child.
Second. That the balance of the land be sold to actual settlers.
Third. That the $1,000,000 of the Cherokee fund be devoted to the education and support of orphans, &c.
Fourth. That interest on the balance be divided per capita every year.
Fifth. That United States courts be established in the Indian country, with juries of Indians to try Indians.
Sixth. An Indian Delegate in Congress to take the place of the expensive delegations, thereby saving the nation $15,000 per year.
All this Congress has the authority of the treaty of 1866 to do, and I am in favor of it.