She appeared with such luminaries as Charles Ruggles, Betty Grable, Jimmy Durante, Eddie Cantor, Buster Keaton, and Carmen Miranda. Most of Greenwood's best work was done on the stage, and was lauded by such critics as James Agate, Alexander Woollcott, and Claudia Cassidy. One of her most successful roles was that of Juno in Cole Porter's Out of This World in which she introduced the Porter classic "I Sleep Easier Now". She had some discomforts with that play, as she had become a devout Christian Scientist and feared the play was too risqué. One of her last movie roles was singing and dancing as the feisty matriarch, Aunt Eller, in the film adaptation of Rodgers and Hammerstein's Oklahoma! (1955).