The following is from " A Genealogy of The Lake Family" of Great Egg Harbor New Jersey, published in 1915. Page 165. Jeremy Adams came to Cambridge, Mass. in 1632 and removed to Hartford, Conn. in 1636, where he was an original proprietor. He married, about 1637, Rebecca, widow of Samuel Greenhill. He died August 11, 1683. John Adams was born about 1637/38. He married August 26, 1657, Abigail, daughter of Richard and Rebecca Smith oh Wethersfield. He died September 6, 1670. Jonathan Adams was bor November 6, 1668. He went to Huntington, L. I. and from there in 1695 to Great Egg Harbor, N. J. He was a Quaker. His wife was named Barbara. His will was proved june 17, 1727. They Had a son Named John (b. about 1700) who also had a son named John (b. 1735). Hope this helps.