Who is Annie Irish, Wife of David Mosher (1755-1810)?

Originally our research led us to records stating that David Mosher [our maternal 6th grt grandfather], born 1755  in Dartmouth, Bristol, Mass and died 1810 possibly in Duchess County, NY, [son of David Mosher and Mehitable Allen]; was married to Annie Irish, daughter of Abner Irish and Thankful Brown.

Upon further investigation and the attention of the Mayflower Society...Abner and Thankful (Brown) Irish's daughter Anna married Reuben Wood.

We have clearly documented this in our Ancestry.com family tree file that this Annie Irish is not the daughter of Abner Irish.  If then this is the case, who's daughter is she?  Who is Annie Irish, Wife of David Mosher?

We have sifted through so many records at this point, we could really use your help!  Help!