Leave It to Susan.

A Clarence G. Badger silent cowboy western kidnapping mistaken identity romantic comedy, based on a story by Rex Taylor; about a rich woman who gets lost in the West, and is found by an engineer who she mistakes for an outlaw. tHe plays along because he enjoys it, but then four real outlaws show up, and he tells them he was kidnapping her. They get found out, the girl gets one of the outlaws' guns and rescues them, and of course, they discover they love each other!