In noting the birth, I see no source it. I doubt Rebecca was born in Kenilworth, Warwickshire, England. I could be wrong.
American Genealogical-Biographical Index (AGBI) shows "1650-1659 Connecticut". Find A Grave Index, which cannot be relied upon because it cites no source, shows "17 April 1654 New London, New London County, Connecticut, United States of America."
Ken