Hello Mr. White,
I know that it has been close to 20 years since this last post. I, too, seek information on Thomas Searjeant Baker and his marriage to Bethiah Cooke. I follow his line. I truly feel that Thomas and Bethiah had children. Matthew, his son, was born in 1768 (same year that Thomas and Bethiah married).
In reference to Ezra. I believe his name is Richmond, not Reynolds. Everything else you mentioned is accurate.
The following site will give an account of Ezra and Mary (Sally's sister). It concerns the Thomas Searjeant's sisters.https://wc.rootsweb.ancestry.com/cgi-bin/igm.cgi?op=GET&...
I also found the book "Reminiscences of the Baylies and Richmond Families" book online https://archive.org/stream/reminiscencesofb00alle#page/n16/m...
This page mentions Sally marrying Mathew Baker (Thomas S. Baker's Father). It also tells of Mary Baylies' marriage to Col. Ezra Richmond.
Sheila Baker Patterson