We used to have a cat - well, we thought we did. In fact she was the daughter of one of our previous cats. One day she turned up with a collar on. She still kept coming to us regularly, at one point obviously pregnant.
Our DiL said she thinks the other family (who had put the collar on her) was a relative of hers who lived in the next street to us.
Venus, as we called her, stopped coming for a while. But then one day I went down to the cellar and there was a little black kitten with neat, short hair sitting on the washing machine, just inside the window.
We took over the care of said kitten, and some time later, we were presented in the same way with another black kitten, soft and fluffy this time.
We eventually found homes for them, and their Mum stopped coming to us in the end.
We never could keep cats. 6 just upped and left, several had kittens, nearly all of which we gave away. I still love cats but I can't bear the thought of them disappearing and not knowing what's happened to them.
When I was a girl we had a cat who would chase rabbits and hares in the nearby fields. He would bring back enormous hares, dragging them between his legs, and they were sometimes twice his length. My mother cooked them but never gave any to us; it was the cat's reward.