Listen to I Could Have Danced All Night [From My Fair Lady] online. I Could Have Danced All Night [From My Fair Lady] is an English language song and is sung by Chet Baker. I Could Have Danced All Night [From My Fair Lady], from the album Jazz Heritage: Chet Baker, was released in the year 2013. The duration of the song is 3:42. Download English songs online from JioSaavn.