Seeking a short children’s chapter book, some black and white line drawings. Published by the early 1990’s, probably much earlier. Inn signs from around town come alive at night and hang out together. Definitely a rabbit, a mermaid, and either a lion or a tiger. Possibly a unicorn as well. They get stuck in the position they are at when the sun rises, so they must rush back to get to their signs in time. A child notices that they’ve been shifting positions.