There are many "Carters" from Robeson County that are probably Indian; but my Carters (that I know) are white. I don't know where my great-great-grandfather John Carter (born 1805) came from, I assumed Georgia, because that is where his wife, Martha (born 1810), came from. I don't know any of his brothers or sisters names, I wish I did. His daughter Molcey, (my great-grandmother, was born in Georgia.
I would love to know more about your Carter family.