Michael Smith - Roots in England

I would like add that we know much about Nehemiah's life as he was one of the original founders of Norwich, Connecticut. I have been searching for a few years, but even the Great Migration Project list his origin as "unknown." We have had a search done in England and been told that as a non-conformist (with the most common last name) there may be no records to find. But with his many children their descendants (all can be found in the published book by H Allen Smith, "A Geneological History of The Descendants of the Rev Nehemiah Smith of New London County Conn. 1638-1888) I am hopeful that someone has a story passed down.