I'm a little late finding your post here, but very glad to hear through Greg of your interest in getting more documented evidence about Moses Mathews' line and of your doing DNA testing to help with that. Hopefully with the full range of markers you've wisely chosen to use, there will be some connection somewhere. I don't know of another Moses descendent who has done DNA testing, but it takes someone to start the ball rolling, and I'm convinced that DNA in conjunction with primary record documentation is what these early SC and GA Mathews/Matthews/Mathis lines need.
I agree with Greg that we definitely need to look elsewhere for Moses Mathews' father, who almost certainly was not Isaac Matthews Sr. of Halifax Co NC. (It follows that no alleged ancestor up the line can be given any credence until each next one up is definitively proved). Greg has done an excellent job in his initial reply to your post of summarizing the problems we found when comparing his research on the Isaac Matthews Sr. line with my research on Moses Mathews (which began with the James C. Mathews manuscript he'd given to my great-aunt). I posted some additional problems and ideas for investigation to the Mathews Family GenForum message board 11 Dec 2006, which you may want to look at, too:
Your line of descent from Moses matches with what I've found, except for the full middle names. I've never seen Rev. James Mathews (Moses' son) recorded in records of his day with any middle name or initial. The middle name you give of "Newton" may have been added by some later family member, an unfortunate but common practice among earlier 20th century family historians across the board. (Middle names in the South were not that common until the early 1800's, and none of Moses' other children had recorded middle names.) While I have confirmed middle initials for later descendants, few include a full middle name, so unless documented by a primary record, some of those may be only assumed, too. My line is also through Abraham M. Mathews--mine from his daughter Catherine Mathews, second wife of Bryant Skipper, whose first wife was Catherine's sister Ellen H. Mathews. (Contrary to some online information, only Catherine had surviving children with Bryant Skipper, not Ellen.)
As Greg mentions here and I've posted elsewhere, Dr. James C. Mathews seems right on target with his information about Moses' children and theirs. It's later compilers such as John R. Boots and C. H. Ward who have confused the picture, especially by substituting Moses' actual children Philip and William with others of the same name. My research supports Dr. Mathews' information that Moses' son Philip was the minister who died in Georgetown Co. SC, not Philip Mathews the Revolutionary War soldier, and that Moses' son William Mathews was the one who married Alice Gaither, not the one who married Mary Jane Miller. If you have questions, feel free to ask.
Thanks for all the work you're doing on this line, and thanks again to Greg Matthews whose excellent Mathews/Matthews/Mathis research helps us all.