Your illustration makes me think it's Henny Penny--you know, "The Sky is falling! The sky is falling! I'm going to tell the King!"

Other animals join Henny Penny on the way, but no-one knows how to get to the King's palace. The fox volunteers to guide them, because he knows the way. Indeed, it seems it's a long way, so they'd better ride on his back. He takes them to a hole, which, it seems, is a shortcut to the King's palace, and induces them to follow him down the hole.

You can fill in the rest.

Dave Oesterreich