Blair

This is the first movie version of the famous story. Alice dozes in a garden, awakened by a dithering white rabbit in waistcoat with pocket watch. She follows him down a hole and finds herself in a hall of many doors.

A dog leads its master to his kidnapped baby.

Dog Rover, from Rescued by Rover fame, chases a kidnapper's car and while he is in a pub, drives it safely home and thus saves the baby.