Our cat, Emmy, definately picked us. The neighbor two houses over seemed to be unable to get the concept of spaying. They wound up with 17 kittens in 2 months.
Since Emmy WAS spayed, she wasn't happy about it.
We would leave the door open in the summer for the breeze and she would just let herself in, but we wouldn't let her have food since we knew she was someone else's. We didn't have any pets at the time.
She spent so much time at our house that one day the owner came over and asked if she could be our cat. She said she was POed about all the kittens around and was hissing and scratching at everyone, but she NEVER showed that behavior with us. I wasn't all that interested in having a pet, but I figured if my family moved in and started crapping babies out all over my home I would probably be hissing at everyone in sight and scratching at the neighbors houses looking for someone to get me the **** out of there too. So, she became ours.
My ex kept her after the divorce and I got our DDs and our dog, Muffy, that we got later.