There is nothing to be sorry for and no offense was taken. You have done the best you can to try and help me with a very tough family history mystery and for that I have nothing but gratitude.
Fannie Margaret Cheser descends from a man that was kidnapped by Native Americans, ironically enough.
Even if the source is unreliable, it is still a hint. I just take everything with a grain of salt until I can verify that the information is good.
I think my best course of action is to get Claiborne's daughters to test.
In another twist of fate, Llano Cemetery buried Cheser in the wrong plot. He wanted to be buried next to his wife and child. My family owns the plots on either side of him but Llano Cemetery will not allow cremated remains to be buried in those plots, so his wife and child can not rest beside him. The family is looking into having Cheser relocated where his final wishes to be buried with his loved ones can be honored, along with the wishes of his wife and child. If and when this occurs, it may be possible to have his remains DNA tested, as he was the last direct line male descendant of this family.
Hope springs eternal that this mystery can be resolved in the absence of other documentation.