Szekeres. The Mouse that Jack Built

The Mouse that Jack Built is a children's book by Cyndy Szekeres, with art by the author, published in 1997. It is available at the Internet Archive.

Here is a YouTube read-along:

The mouse is a snow-mouse, and Jack is a rabbit (I supposed because of jack-rabbits!), as you can see from the cover of the book. The lines get longer and start to rhyme, as in the traditional Jack. Jack ends up using his own hat and scarf to "build" the snow-mouse:

His mother calls him to come home, and she makes him put his hat and scarf back on:

This twist is what gives the story its ending: his mother knits him a new hat and scarf, so the next day Jack the rabbit can go put the old hat and scarf back on the snow-mouse.

This is not my favorite story, but the drawings are very cute; you can see more of her work here: Cyndy Szekeres at R. Michelson Galleries.