Listen to Hush My Baby online. Hush My Baby is an Unknown language song and is sung by Little Baby Universe. Hush My Baby, from the album Soothing Piano Music for Baby Sleep – Relaxing Sounds to Calm Down Baby, Sleep Through the Night, Smooth Jazz Music for Babies, Relaxation, was released in the year 2015. The duration of the song is 3:09. Download Unknown songs online from JioSaavn.