Noah Way Farm
Songster
That was my first thought too - some sort of candid. Given the small size, I would guess fox. I don't think a fox would have any trouble getting on your grill. It's probably hungry and attracted by the lingering odor of food.
They look like canid, see the claw marks, and about right size for a small fox, but I can't imagine a fox getting on a grill shelf.
Could be a cat with claws out to hold onto slippery surface.
Where is grill in yard?