Shivaree

From Lastfm:

Shivaree is a three-person American band formed in 1999 consisting of Ambrosia Parsley (vocals), Danny McGough (keyboards), and Duke McVinnie (guitar). They have produced three full-length albums (only two of which have enjoyed a North American release due to contract disagreements) and have approximately 500,000 combined sales to their name. They credit numerous other musicians in their work and are usually joined by two or three other collaborators when performing live. Their song Goodnight Moon was used in the Quentin Tarantino movie 'Kill Bill Vol. 2.'

From Wikipedia:

Shivaree is an American alternative pop/rock band formed in 1999 consisting of Ambrosia Parsley (vocals), Danny McGough (keyboard), and Duke McVinnie (guitar). They have produced four albums, with approximately 500,000 combined sales.[citation needed] Shivaree is best known for the song "Goodnight Moon", released in 1999 and appearing in Dawson's Creek and Kill Bill: Volume 2.