I have no direct evidence, but think there could be come connection.
Sarah Abbett born 10/7/1803 in Henry County, Kentucky married William A. Miles 11/10/1821 in Henry County, Ky. She had two brothers who were ministers. Her father James Abbett had 13 children by his first wife and three more by a second wife. I believe that there are several instances where some of the descendants gave their child a name that was married into the Abbett families. Many of James Abbett's children emmigrated to Bartholomew County, Indiana and some went on to Minnesota and Missouri. Some have not been found as yet. I'm not sure that this is a help.