You can listen to a portion of it on THIS CD, though the audio is kind of muffled.

There's also this from an earlier thread:

Subject: RE: Lyr Req: Mr. Moon
From: GUEST
Date: 17 Sep 07 - 08:28 AM

Our song went .....

Good night to Mr. Moon. We shall have to go and leave you.
Good night to Mr. Moon. Come again to see us soon,
And when we are asleep, through the window pane you peep.
We wake up and shout out, "Good night to Mr. Moon."
Have you got a mother dear like the one we have down here?
Do you ever rest in your starry nest?
Good night to Mr. Moon. We shall have to go and leave you.
Good night to Mr. Moon. Come again to see us soon.

Think from 1930 any one know as my gran sang this and my mother to me. Thanks from JO