people around here usually will call the police to report lost or found pet, as well as the shelters. And also, local vet's might be pput on alert for a lost animal. You could also post signs. JUst because a kitten seems well fed, doesn't mean it has a permanent home. People could be feeing it or more likely, it was part of a litter that was not wanted and now is in need of a new place to live. Good luck with it. Even if it needs to go to a shelter and have the owners retrieve it there, is better than being on the streets