An observation, in the hopes of keeping all information about this search in one location, should anyone also pursue this challenge:
I mentioned there are trees with Sarah, d/o Joseph Hickcok and his wife Mary Carpenter, b.1676, and, per the trees, d.1721, Milford. **There's a problem here!!** Joseph died in 1687, and the probate states he left behind his widow, 3 sons and 2 daughters. Daughters were Elizabeth and Mary. No mention of Sarah, so I don't think this is Sarah, even if she existed, is a candidate for the wife of James Prime and mother of Ebenezer.