There are two bands with this name:
1)The Graces was a band in the late 1980s and early 1990s featuring Charlotte Caffey, Meredith Brooks, and Gia Ciambotti. Formed in 1988, they released their debut album Perfect View on A&M Records in 1989. First single Lay Down Your Arms hit #56 on the Billboard Hot 100 but the album and subsequent singles flopped. In 1991 they were dropped by the label and Brooks left the band. She was replaced by Chrissy Shefts and continued to play live.

Read more about The Graces on Last.fm.