Bugsy

 
This is a good cat.

Jillian has discovered the cat.  She likes to pet him - which really means she pulls his fur while crawling on him.

 And Bugsy lets her.  He lays there while she climbs on him.

After she climbed on him and pulled at him, the farthest he got from her was the other side of the Little People barn.

And when her attention went elsewhere, he just laid back down next to the barn.

That's a good cat.