It's very possible that your Pilgrim ancestry and mine have a common ancestor. I am descended from Amos Pilgrim (1707-1782) who emigrated to the Colonies ca. 1724 as an indentured servant. His descendants, and my line, were most certainly in North and South Carolina as they moved south and west to Georgia, Mississippi and Texas.
I have over 40,000 individuals in my database and if you will send me your line, I'll check and see if I have your line. Be glad to share anything I have with you.