Little Jack Rabbit and Uncle John Hare by David Cory

Now the Moving Picture to which Little Jack Rabbit and Uncle John Hare went in the story before this was about a dog that barked at the moon till the Man in the Moon threw him a bone, after which he sat out in the backyard every night to catch the bones the Man in the Moon threw down to him.

"I wish it had been about the little bird in the Moon Man's house," said Little Jack Rabbit. "I don't care much about dogs."