I have some information on the Mathews and Williams families.
From the Will dated 3 Jan 1848 of Robert Mathews, probate Nov. Court Greenbrier, VA 1850, names his wife Nancy and grandson Townsend Mathews. Wit. John Hanna, James Williams & H.G. Pennell.
From the Will of John Williams 9 Sep 1836 Greenbrier, VA, names his daughter Nancy Mathews.
Nancy Williams is the daughter of John Williams and Elizabeth Parkins, Elizabeth was born 21 Jan 1757.