I wish we knew where in Wales Philip Rhydderch lived or was born.When his sons took the name Philips, the family was simply following the Welsh patronymic system used in Wales at that time by almost everyone.But in America, probably Philips became a stable surname.I presume you descend from this family.Philip Rhydderch was without doubt the son of a man with the baptismal name of Rhydderch.It is possible that in that location others were using the name Rhydderch as a baptismal name, and that eventually some of them assumed the name Rhydderch or Roderick.
Contact me if you would like participate in our Rhydderch-Roderick, etc. DNA analysis. It's a long shot that you might match one of our Welsh Rodericks or Rhydderchs, but I would do it. firstname.lastname@example.org