First, I'd ask them what gave them the impression that I even had one?

Then, depending on whether they had proof of ownership or not, I'd ask them who'd go out and get a rabbit or whatever for my family should it ever get to the point that we needed to depend on such things for survival.

Then, if they were to say not to worry that my family would be taken care of, I'd call them all liars and tell them to get lost in no uncertain terms (chances are, if they were asking me those questions, they'd be trespassing anyway).