The Fugitive (1963)

Season 2: Episode 26

While traveling through a small Oklahoma town, Kimble is arrested, not because the police recognize him, but because they've mistaken him for Leonard Hull, a former numbers runner about to testify against a big-time racketeer, who has run away from a witness relocation program in that very town. Kimble is taken to a motel where Leonard's wife, Mavis (who knows he's not Leonard) is staying. Kimble asks for her help to get away from the police, and a local hit man pursuing them.