I'm looking for any information on the family of William (b. abt. 1810) and Mary (b. abt. 1820) Conner.

Their children included:
Calvin (b. 1837)
John
Ivy (b. abt. 1850)
Betsy
Liza
etc. . . .

Calvin and Ivy changed their last name to Carney, I assume after leaving Jones County around the late 1880s, early 1890s.
I know that Conner was a common name used among the Tuscarora nation in Jones County, and my Conner family is listed as "mulatto" (a common designation for Indians during this time period). After they left Jones Co. and changed their name, they were listed as "white."
Any help at all on this family is greatly appreciated. This family is very difficult to research.
Calvin is my g-grandfather. He married Martha Ann Elizabeth Brown about 1875. It was his second or third marriage. I do not have the last names of his other wives.
Thanks!
Amy
Wilmington, NC