Listen to Bye Baby Bunting online. Bye Baby Bunting is an English language song and is sung by Toddler Songs Kids, Baby Sweet Dream, Songs for Children and Smart Baby Lullabies. Bye Baby Bunting, from the album Happy Time Island Nursery Rhymes, was released in the year 2017. The duration of the song is 3:22. Download English songs online from JioSaavn.