Well, I learned Carolina in the Morning many years before I ever got to the Carolinas. Songwriters are Gus Kahn and Walkter Donaldson, 1922.

Then there's Carolina Moon, written in 1924 by Joe Burke and Benny Davis.

Oh, and Waterbound (Down in North Carolina). I think this is Joe Hickerson's greatest hit (although I like a lot of other Hickerson recordings...)