She has, in fact, been listed in the Guinness Book of World Records for this achievement. The Oscar was for her performance as Anita in the 1962 motion picture, "West Side Story."
The two Emmys she has won were for her 1977 variety appearance on "The Muppet Show," and for a dramatic guest appearance on "The Rockford Files" in 1978.
The Tony was for her 1975 triumph on Broadway as Googie Gomez in "The Ritz."
The Grammy was for her 1972 performance on "The Electric Company Album" for children which was based on the long-running television show of the same name.
Along the way she has picked up dozens of other show business awards, most notably The Golden Globe Award, The Golden Apple Award, and the Joseph Jefferson Award as best actress in Chicago
