Dudley's professional acting debut resulted from her visiting producer
Eddie Dowling in his office and reading some lines for him. She left his office as the leading lady in
Agatha Calling, which made a pre-Broadway tour but never reached Broadway. Dudley's Broadway credits included
The Season Changes (1936), In 1939, Dudley portrayed Cordelia in the New York opening of
My Dear Children, starring
John Barrymore. Two weeks after the New York opening, Elaine replaced Dudley as Cordelia. "Mrs. Barrymore wanted my role," Dudley said later about being fired for the first time. Later that month, Dudley had the female lead in
Margin for Error at the
Plymouth Theatre in Boston. On radio, Dudley portrayed the title character's daughter, Peggy, in
Meet Mr. Meek. After she left acting, Dudley became a real-estate developer. ==Personal life==