Hey Nebe, would that be the Horton as in Horton Point in Wading River? I assume he was a Puritan leaving CT because of persecution, which is why mostly Puritans settled in the eastern end.
I just found this which may be of some interest to you.
http://ntgen.tripod.com/bw/hort_index.html
I didn't realize the Conklins and the Hortons were related. One of my bosses is an original Conklin (Conckling).
That is quite the family history.