A bit more with the assistance of Malcolm Harris gets us back a lot further:
Jonathan Harris bapt 14 Mar 1770 at Hythe, Kent, England was the son of Nicholas Harris (1739) and Anne Friend (17421814) [the daughter of Richard Friend and Elizabeth Holmes]
Nicholas was bapt 23 Dec 1739 at Hythe, Kent, England the son of Jonathan Harris and Mary
Jonathan was bapt 16 Jul 1712 at Hythe, Kent, England the son of Jonathan Harris and Elizabeth possibly Elizabeth Pattin
Jonathan Harris bapt 29 Mar 1693 at Hythe, Kent, England the son of Jonathan Harris and Anne, possibly Anne Lucket
Regards
David Fox