Online sources say she died in 1742, but I don't know the source.That's the same year she was "united" with the church in Dover, so maybe that's where the date came from. He did get married after Esther Adams, because his wife's name in his will is "Juanna."
I saw the information about Abigail Stocker.The license was obtained in Portsmouth, and the marriage occurred in Hampton Falls.The dates seems to fit with Abigail, wife of Thomas Bickford, the shipwright.I think she's a better candidate for his wife than Abigail Thomas.
I'm curious why you think Thomas Bickford, husband of Esther Adams, is the same person as Thomas Bickford of Newbury. I think Thomas Bickford son of Thomas Bickford and Esther Adams is more likely to be Abigail Stocker's husband.He's around her age and little is known of him beyond that he served in the French & Indian War and lived in Epsom, NH from 1754-1766.His whereabouts before and after that are unknown.He had a wife Mary in 1766, but she could've been a second wife for all I know.He's presumed to be the old man Thomas Bickford who died at the age of 98 in Pittsfield, NH on March 16, 1718, but that's just speculation.