She recovered, but the condition may have contributed to her "patented look" and "a calm, quizzical gaze and an enigmatic expression that would later lead RKO to promote her as 'The Woman with the Mona Lisa Smile'.

Hughes lent her to RKO to star in many films (another source says Greer's husband, Rudy Vallee, "helped her get out of her contract with Hughes and secure another pact with RKO Studios"[7]) including Dick Tracy (1945), Out of the Past (1947), They Won't Believe Me (1947), and the comedy/suspense film The Big Steal (1949), with Out of the Past co-star Robert Mitchum.

Hughes refused to let her work for a time; when she finally resumed film acting, she appeared in You're in the Navy Now (1951), The Prisoner of Zenda (1952), Run for the Sun (1956), and Man of a Thousand Faces (1957).

[8] Greer's noteworthy roles in television included guest appearances on episodes of numerous shows over the decades, such as Alfred Hitchcock Presents, Bonanza, Quincy, M.E., Murder, She Wrote, and a 1975 role with Peter Falk and Robert Vaughn in an episode of Columbo titled Troubled Waters.

Greer was honored with a star on the Hollywood Walk of Fame at 1634 Vine Street for her contributions to the motion picture industry.

[10][11][12] On August 20, 1947, Greer married Edward Lasker, a Los Angeles lawyer and businessman, with whom she had three sons including Lawrence, a movie producer (WarGames, Sneakers).