The entire smashing together of disparate people causes me high sorrow, but I want to add a contextual point.
The “Price” and “ap Rice” names that are showing up here have Welsh roots, and were originally the patronymic “ap Rhys,” that is, “son of Rhys.”
I see over and over users attempting to connect people who are not the same because they have the same first name in Welsh. Aaaaaugg.
Since the Welsh were not forced to use the English surname system until the 16th century, there are relatively few surnames in use in Wales even today.
One of the popular ways of creating a surname was to take a dad’s or granddad’s patronymic.
So ap Rhys became ap Rhys, ap Rice, Price, Pryse, etc. in various families.
And probably all those names point back to some early ancestor named Rhys.
Rhys. Was. One. Of. The. Most. Popular. Mens’. Names. In. Wales.
This means that many many many many many families, bunches of whom came to the American colonies, used the surname Price. Or ap Rhys.
But I would be so very careful not to connect the colonists from Wales unless I had very clear evidence.
Which frankly is seldom there.
And mostly never would have been.