I've had 3 that were acquired that way. One's mother moved into our garage and had kittens (we kept one), one literally pushed the screen out of my upstairs bedroom window while I was sleeping to come in (scared the crap out of me - to be fair, we had fed her earlier, so she had some reason to assume she could let herself in), and the most recent was a kitten who yowled at my wife from a bush outside of where she worked until she found where he was and took him home. Definitely qualifies as "I live here now" because he was silent and calm on the drive home.
It's clearly not a genocide. I know this because the media has told me to reject the evidence of my eyes and ears. It seemed pretty final and essential.
Oh, that's an American small.