Parker died Nov. 30 of complications from a stroke at the Motion Picture and Television Country House and Hospital, the Los Angeles Times reported Saturday.
Parker appeared in more than 70 movies including "Little Women" with Katherine Hepburn and "The Gunfighter" starring Gregory Peck.
She made seven movies in 1933 alone, among them Frank Capra's "Lady for a Day." In the classic 1939 Laurel and Hardy film, "The Flying Deuces," she played the love interest who sparked Ollie Hardy to join the Foreign Legion.
Parker had a number of stage roles. She replaced Judy Holliday in a leading role in "Born Yesterday" in 1949 and starred in several West Coast plays.
Married four times, Parker had one child with her fourth husband, actor Robert Lowery. She later separated from Lowery, who died in 1971.