I looked at your Greenman tree and made some connections with a ref book. You were looking for arrival in America. Does any of the below look like it fits anywhere?
(1) John Greenman Newport RI 5/20/1638 (2) Edward Greenman m. Mary 4 children (3) Edward Greenman(2) b 1663 m. margaret (4) Edward Greenman(3) m Sarah Clarke 1721 (5) Silas Greenman b 6/11/1724 m S. Peckham (6) Silas Greenman (2) b 1770 m mary (or Polly daughter of George& Ester Stillman (7) Silas Greenman (3) b.1796 m Thankful Wells 1821 (8) George S. Greenman b 7/13/1826 m. 2/14/1853 Miss Patience, the daughter of Oliver and Hannah(Saunders) Crandall.
This George I have a photo of that I would scan for anybody who would like one.