Wright Bros. lived, designed, built, developed their aircraft in Dayton, OH. They only went to Kittyhawk for test flights. After the first Flyer, all their subsequent planes were flown in Dayton. Their facility there eventually evolved into Wright Field aka Wright-Patterson Air Force Base, which was the technological center of the first 50 years or so of military aviation.
OH has "Birthplace of Aviation" on their license plates and NC has "First in Flight" on their plates. Both claims seem reasonable to me.