The Cheyenne Kid (1933)

Chasing a gambler that stole money, Tom Larkin gets his horse shot out from under him. Meeting an outlaw with a horse, after a fight Tom rides away on that horse. Arriving in town he is mistaken for the outlaw and offered a job of killing a man. But the man is the father of the girl that Tom's money was to go to but was stolen by the gambler.