I learned a version of it when I was in the Camp Fire Girls around 1970

Oh mister moon, moon, bright and shiny moon,
won't ya please shine down on me.
Oh mister moon, moon, bright and shiny moon,
won't ya come out behind that tree?
Right over there there's a man with a gun,
da da da da, he's sure to shoot ya if ya try to run.
So mister moon, moon, bright and shiny moon,
won't ya please shine down on,
talk about your shine on,
please shine down on me,
for the both of us. Yahhhhhh

Good memories.