Unusual, Presumed German House, Dog and Windmill on Squeaker

I've never seen another squeeze/squeak toy like this one, which I have to think is German, or at least its components are.  I've certainly seen a bunch of little German animals like this dog, and squeaker toys too, but not one with a whole scenario unfolding atop of it.  Here the air hole in the squeaker is located just below the windmill, surely with the notion that the air from a squeeze should set it turning. (It really doesn't, at least not now, but what a nice idea!) And then this yellow house, looking very much like wooden Erzgebirge ones, but painted on card, with a printed double window glued on top. I'm guessing 1920s-1940s and quite a sweet little thing I think. And it still emits a high pitched squeak when squeezed.

4 1/8” w x 3 1/8” t x 2 1/16” d and in very good, very clean condition. There may be a missing bit of wood in front of the right side of the house that would have matched the one at right.