Looking for Lydia Rice Barton

I believe that Lydia Rice Barton may be the granddaughter of Nathan Barton (1734-1795) and Lydia Rice (1744-1814). Lydia Rice is the daughter of John Rice (1704-?) and Anna Sanderson (?-?). Nathan Barton is the son of Joshua Barton (1697-1793) and wife Anne (?). Locations in all cases appear to be Massachusetts.