I had been looking for the words to that song since my daughter was a baby...she is 26 now.
I remember it

Oh mister moon, moon, bright and shiny moon,
won't you please shine down on me,
Oh mister moon, moon, bright and shiny moon,
won't you come out behind that tree.
When the sun goes down and the moon comes out
All the little children gonna sing and shout!

Oh mister moon, moon, bright and shiny moon,
won't you please shine down, please shine down,
please shine down on me.