Your Frances Murphree is not the woman who married Barnett McAdoo. That Frances Murphree was born before 1785 and died in 1869. Her father was Levi Murphree, Sr., and her grandfather was Daniel Murphree. She had brothers, Levi Murphree, Jr., Elijah, Daniel, Caleb, and Elisha.

It appears to me that you are looking for a different line. But the Barnett McAdoo line is definitely not the right one.