Listen to Rock-a-Bye My Baby online. Rock-a-Bye My Baby is an English language song and is sung by Paul Eakins. Rock-a-Bye My Baby, from the album Carousel Organ Archives, Vol. 1: Merenghi Carousel Organ & Bruder Fair Organ, was released in the year 2013. The duration of the song is 1:22. Download English songs online from JioSaavn.