A Lady Takes A Chance (aka The Cowboy and the Girl) (1954)

Storyline

A New York bank clerk,Mollie Truesdale (Jean Arthur), in the late 1930s, finds that her cherished dream of making a 17-day all-expenses-paid bus trip to the Pacific Coast and back, isn’t all she thought it would be…until she reaches Oregon and a bucking broncho tosses a rodeo performer on top of her and knocks her flat. Duke Hudkins (John Wayne), by way of apology, shows her the sights of Fairfield, Oregon, and she misses her bus, quarrels with the bewildered Duke, hitchhikes across a lot of desert…and a romance is born.