There is a 2 volume book "Descendants of George Abbott of Rowley, Massachusetts" by Lemuel Abbott, 1906, which details many Abbott families in America.
The book has been reprinted by Higginsonhttp://www.higginsonbooks.com/genab005h.html
The Thomas Abbott 1632 line is discussed starting on page 902.
If I see other lines noted in this project and mentioned in the book I'll update here.
Our family is descended from George Abbott and I was expecting to see others here in the Abbott Surname Project.