Listen to There's a New Moon Over My Shoulder (Remastered) online. There's a New Moon Over My Shoulder (Remastered) is an English language song and is sung by Bill Haley and His Comets. There's a New Moon Over My Shoulder (Remastered), from the album 50 Greatest: Bill Haley & His Comets, was released in the year 2012. The duration of the song is 2:02. Download English songs online from JioSaavn.