Swoosie is the only child of author Margo and Frank Kurtz. As her father was a colonel in the U.S. Air Force, she moved often during her school years, living in eight different states. At the University of Southern California she majored in drama; later she attended the London Academy of Music and Dramatic Art, collected Broadway's "triple crown" (the Tony, Drama Desk and Outer Critics Circle awards) for her portrayal of Gwen in Lanford Wilson's "The Fifth of July". Since then she has appeared in many TV shows and movies, and received several Emmy and Golden Globe nominations and an Emmy for her guest-starring performance on Carol Burnett's comedy series Carol & Company (1990).