That is the story as best as I can remember it. I have searched for a copy for years now. I knew it, not from a book, but from a 78 rpm record that played on our family console stereo. The record has long since dissappeared. Knowing that "Google is our friend" I have searched there. Nothing. I had hoped it may have been one of Aesop's Fables, but it is not. Not that I have found at any rate.
So, my search for the story continues.
This photo of the moon over Expedition Everest reminds me of this story and my memory of it. I hope it may inspire some memory from your childhood.
More to follow...