I am Lydia Asbell's great grandson. In reading your post and information received from Delmar Asbell (most of his information is correct), I respectfully disagree with his contention that Lydia is the daughter of an Indian lady named Nar-nee. There is no creditable documentation for this that I am aware of. I am of the belief that Lydia is the daughter of Elizabeth Moore who William married in about 1789. Lydia wasn't born until 1804. William, I believe, was first married to a Cherokee Indian who apparently died sometime before his second marriage. Willian also later married another Indian lady by the name of Alah Van Winkle in 1810 after Elizabeth died in 1808. If Nar-nee actually survived and went west on the Inidan removal, it would have made sense that William might go with her if necessary. Instead he had two more families. There may, in fact, have been someone named Nar-nee that went to Oklahoma but I would say this is an unrelated person.
I have taken a DNA test for Indian traits from DNA Tribes which I am willing to share with you. It shows no Indian and no Cherokee connections. Bear in mind this is my great grandmother we are talking about here. My grandparents and aunts would certainly have talked about the fact that they were one-fourth Indian if that had been the case. My father would have been rather proud of it.
Good luck on your research. I would be happy to hear from you if you have any information to share.