Follow the Fleet (1936)
Follow the Fleet (RKO) is a 1936 Hollywood musical comedy film with a nautical theme which stars Fred Astaire and Ginger Rogers and features Randolph Scott, Harriet Hilliard, and Astrid Allwyn, with music and lyrics by Irving Berlin. Lucille Ball and Betty Grable also appear, in supporting roles. The film was directed by Mark Sandrich with script by Allan Scott and Dwight Taylor based on the 1922 play Shore Leave by Hubert Osborne.
More at Wikipedia.