Abram Williams,

Abram Williams is the farthest back I've gotten on my Williams line. However, thanks to a cousin Pauline who contacted me with handwritten notes from her great-grandmother, I've gotten some new information. Abram was married to Sarah Cronk or Cronkhite and he had a brother, Thomas, who married Sarah's sister Rachel. To make it very Lannister-like, Thomas's son, Solomon, married his cousin, Abram's daughter, Rachel. Whew!
Our line actually comes down from Abram and Sarah (Cronk) Williams thru their son Squire (he's mentioned in the document that Minnie (Solomon and Rachel's daughter) wrote and passed down to Pauline.
The Williams line still ends with Abram and Thomas, but there's a Francis mixed in there also who moved to Indiana (DNA matches with our line).
Sarah Cronk or Cronkhite's line goes much further back to the Dutch colony of New Amsterdam and on her great-great-grandmother's side to Captain John Conklin who came from New Haven and settled the town of Southold, Long Island. He was originally from Nottingham, England and his line can be traced back even further.

John Concklyne's heavy flat-topped tomb at Southold is in an excellent state of preservation. It's inscription reads: "Here Lyeth the Body of Captain John Conkelyne borne in Nottinghamshire in England who departed this life the Sext Day of April att Southold on Long Island in the Sixty fourth year of his age. Anno Dom 1694."