Parker's career had definitely peaked, and though she would reteam with Raoul Walsh for "The King and Four Queens" (1956, with Clark Gable) and Sinatra for Frank Capra's "A Hole in the Head" (1959), her best work of the late 50s was in Hugo Haas's "Lizzie", in which she was excellent as a woman with three distinct personalities, and Carl Schultz's "The Seventh Sin" (both 1957), playing the adulterous wife of a doctor who redeems herself during an epidemic. "Madison Avenue" (1962) marked her last starring role in a picture, but Parker continued to appear in secondary roles through the 70s, most notably as the Baroness in Robert Wise's "The Sound of Music" (1965). After headlining the NBC melodrama about the movie business "Bracken's World" (1969-70) and appearing in her final feature to date, "Sunburn" (1979), Parker acted in three TV-movies, "Once Upon a Spy" (ABC, 1980), "Madame X" (NBC, 1981) and "Dead on the Money" (TNT, 1991), in addition to the 1986 "Stage Struck" episode of CBS' "Murder, She Wrote".