I'm researching that same time period, and looking for a close relative, I think. I have Benjamin Bartlett (1671-1716) m. Sarah Barnes (1679-1732) in 1702, with 6 (poss 7?) children. Among them is BENJAMIN BARTLETT (1706-1755) m. HANNA STEVENS (1712-?). This could be your Joseph's father?
I am looking for another son of Benjamin and Sarah, JOSEPH BARTLETT (1709-1760) married JEAN SWIFT (?-?) in 1735. I need info on their 8 children, specifically BENJAMIN (m. JEMIMA HOLMES in 1759), son ANSEL.