My grandfather used to sing it to me this way...

Oh Mr. Moon, Moon, bright and shiny Moon
Oh won't you please shine down on me...

Oh Mr. Moon, Moon, bright and shiny Moon
Oh won't you come from behind that tree...

Well there's a man behind me with a big Gatling Gun,
I know my life is in danger, but I'm too scared to run

Oh Mr. Moon, Moon, bright and shiny Moon
Oh won't you please shine down on...
Talk about your shine on...
Please shine down on me -- Oh Mr. Mooooooon...