With a little more on-line digging, I was able to come up with a bit more on Patience Pierce's mother's family.
(1) Jonathan Hill, a native of Wales [one source says England], arrived in America by 1657 and settled on Prudence Island in Narragansett Bay. He was also a resident of Warwick and Portsmoth, RI. His wife's name was Mary. Jonathan fathered at least three sons Robert, Jonathan & Henry. William Allen, also a Welshman, arrived in 1660 and the two families became prominent members of Prudence Island. Jonathan died about 1690.
(2) Jonathan Hill was born in 1657 on Prudence Island and died there on 5 September 1731. He married Elizabeth Holmes. They had Jonathan [wife unknown], Caleb [Ruth], Mary [Isaac Lawton], Patience [Daniel Pearce], Rebecca [John Allen], Thomas [Elizabeth Allen, Rebecca Cole Allen], Ebenezer and Sarah [Mr. Mills].
Jonathan purchased a quarter of a farm in Coweset from Philip Sweet in 1703. He deeded 105 acres in Warwick to son Thomas on 16 June 1731. Son Jonathan and Caleb were the administrators of his estate.
(3) Patience Hill married Daniel Pearce on 3 October 1708 on Prudence Island