A Family Tree on Ancestry gives the wife of Andrew as Hannah.
Picture of a recent military stone gives his birth as 1749 - I doubt he was anywhere near that old.
FindAGrave cites wives Hannah Roberts (1765-1815) and Nancy Anna Briant (1789-1848) - neither has a known grave site. Andrew is said to have been buried Bryant Cemetery, Bernstadt, Laurel Co, KY. His old stone appears almost hand carved - he was given no middle initial. The stone is partially buried and the dates cannot be read. The contributor has given him a birth of 20 Sep 1765, death 10 Sep 1841.
There's no proof of such a wife. One of his wives was likely Hannah. Neither was Andrew married to a Nancy Briant.
Andrew B. BAKER and ??? RAINWATER had the following children:
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