Riding on a Broomstick

The witch had a cat, a striped fatso, a red braid, and a tall hat. The witch rushes through the sky on her broom and drops her hat, a magic wand, and a bow from her red braid to the... ground. These are found in turn by a dog, a little bird, and a frog, who ask to be taken for a ride on the broom in reward for their service, which the witch willingly does. But the broom breaks: the cat, the dog, and the frog fall into the swamp, while the witch ends up in the clutches of a dragon; he is about to eat the sorceress for dinner when suddenly a terrible fearsome beast - a swamp monster - appears and demands to take the witch. Where have the cat, the dog, and the frog gone? What happened to the little bird, and what will become of the witch now?