singing ula, ula bye bye.

...sky is here to... and the moon is there to ... they'll come if you don't cry. Signing ula ula ula ula bye bye...

This song was sung to me by my mother in the 1950s when I was a child. My mother was a Scot from Glasgow, and we lived in England at the time. I wonder though whether it might possibly be of American origin ?

I'm looking for lyrics and a recording if possible. Thanks.