Check out the tree at the page below.It has more details on the birth of John Abbe other than just being born in England about 1613.It also has two more generations of ancestors.I have no idea how reliable it is.If it is correct, it is a bit of improvement at the earliest end of the more commonly known Abbe line as indicated in Cleveland Abbe's work.
I have quite a bit of the early part of the Abbe-Abbey Genealogy with a few updates/corrections from my great grandmother already in a database. I don't have hard documentation or source notes for the updates.(She took some info off the tombstones on our plot in Center Cemetery in East Hartford, CT, but other than that I don't know where most of the changes came from.)Let me know if you are interested.