Listen to Rock-a-Bye Basie online. Rock-a-Bye Basie is an English language song and is sung by Count Basie and His Orchestra. Rock-a-Bye Basie, from the album Count Basie - 91 Greatest Jazz Hits, Vol. 1, was released in the year 2015. The duration of the song is 3:01. Download English songs online from JioSaavn.