Parker was born in Fort Jackson, South Carolina. Parker played Harper Pitt, the Mormon Valium-addicted wife of a closeted lawyer, appearing full frontally nude. in 2004, Parker appeared in the comedy Saved!, and a television film called Miracle Run, based on the true story of a mother of two sons with autism, as well as appearing in Craig Lucas’ Reckless on Broadway. in November 2005, Parker was honored with an exhibition of her career at Boston University, where memorabilia from her career were donated to the University’s library.