Note: I am not absulutely sure that Jonathan Hill of RI is a son of John & Frances Hill. However, I have linked him to this couple based on genealogical information sent to me by Hill descendants.
Jonathan & Mary Hill lived at Warwick, Portsmouth, and Prudence Island.
Jonathan & Mary may have had another son named Thomas in the early 1650s, as the book "The History of East Greenwich" tells of a Thomas Hill who was in Potowomut by 1680, in business partnership with James Greene.
Jonathan may have been born earlier than 1640, possibly closer to 1630.
It is believed that Jonathan married twice, to two women named Mary: Mary Sharwood (Sherwood) and Mary Bassett.
From another genealogy: This or another Jonathan Hill may have died 2 Feb 1710, and his wife died 12 Sep 1715. (This needs more research.)