According to the information that I have, the original family name of Daniel, Guillaume and Jacob was De Lepine or De L'Epine.They left their homes and lands and fled from Coutance in Normandy.They crossed the Channel and travelled to Canterbury and, as you said, settled in the Parish of Holy Cross, Westgate, Canterbury.Further documentation indicates that Daniel changed the name to Lepine.Guillaume's name was altered to William L'Epine.This Will L'Epine had a silk weaving factory near St. Peter's Stl in the Parish of St. Peters. The factory fell into the hands of the sons of the second wife of Daniel Lepine, Charles and Samuel.
I have a copy of a very long article about the family from a 1990 edition of Family History published by the Journal of the Institute of Heraldic and Genalogical Studies. If you email me privately, I would be pleased to provide you with a copy.It's far too long to transcribe on here. My mother was a Lepine and I was the first of our line to ever leave England.From what I've learned so far, I believe that my descent is from Jacob.Unlike Daniel and Guillaume, he did not become a member of the Walloon Church in Canterbury.He went on to London.