The itsy bitsy spider went up a water spout--but with a cat (?) and my car

I think I may have mentioned the layer of dust that constantly shrouds my vehicle. Well, there's been a new twist: paw prints on the front and rear windshields.

I went out to my car the other day and noticed some prints in the dust on the back window: 

And later, I observed it on the front windshield too (which was hard to see in daylight, too many reflections, but you can see here):

I feel like I have the perfect clues sans one really good mystery but I also I really want to see what I presume is a cat climbing up my car. 

And a dust free neighborhood.