Listen to Rock a Bye Baby online. Rock a Bye Baby is an English language song and is sung by Toddler Songs Kids, Baby Sweet Dream, Songs for Children and Smart Baby Lullabies. Rock a Bye Baby, from the album Burly Bears Sing A Long Nursery Rhymes, was released in the year 2017. The duration of the song is 2:18. Download English songs online from JioSaavn.