I found the Oxford Music Corp. Words and music by Mack David, AL Hoffman, Jerry Livingston: Chi-baba Chi- Baba (My Bambino Go To Sleep)
Recorded and featured by Perry Como, Copyright 1947.
Many years ago in old Sorento A certain ditty was quite the thing
Whenever a mother rocked her baby in Sorento This little ditty she used to sing Chi baba chi baba chi wa wa, enjalawa cook a LA good balance Chi baba chi baba chi wa wa My babies go to sleep chi baba chi baba chi wa wa, enjoy ja LA wa, cook a LA good ba, etc.....