Many moons ago we had four cats, Smokey, Eley-May, Tiger, and Dobin.
All four slept with us on our bed, Eley-May on my head, and the other three around my wife, I awoke in the middle of the night holding the rear end of a cat but I still had my eyes closed, then it dawned on me, this was not one of ours because it had no tail, I opened my eyes and turned on my bedside light and woo and behold a strange cat was enjoying the affection that I gave it.
It must have ventured in through the cat flap but all my own cats did not bother.
I believe it belonged to the house opposite to us, they were newcomers.
The cat did visit us from time to time.
As time has passed by, we now have no cats but one dog that is more expensive and trouble than four cats plus one.