Fuller's ability as a songwriter manifested itself through the intervention of her friend, producer Hal Wallis; Fuller had wanted to get an acting role in the Elvis Presley movie "Blue Hawaii", which Wallis was producing, but instead he put her in touch with Hill & Range, the publisher that provided Presley with songs. Fuller went into a collaborative partnership with composer Ben Weisman and co-wrote one song, "Rock-A-Hula Baby", for the film. It was a beginning that eventually led to Elvis Presley recording a dozen of her songs, including "I Got Lucky" and "Spinout". Fuller's music was recorded by Nat 'King' Cole, Peggy Lee, and other leading talents of the time.