Thank you for taking care of Kitty-baby! When I was a kid, this family moved next door, they had a cat. We had one too, but an indoor one. The little girl that lived there tormented the cat. The cat ended up hanging out at our house most the time. We were also feeding some strays that we occasionally saw. Well they ended up moving and guess what, they didn't even ask for their cat back! Better off for the cat, those people were horrible. I remember the girl handing me a bottle of god knows what through the fence and told me it was the cat's "medicine" and to spray it in his mouth. Yeah right.
Anyway, we did have another cat growing up, and during the day he'd hang around outside, and when it was night time, we would call him from the garage/backyard door (His name was Rascal) we'd go "Raaaaaaascaaaaalll!" and immediately you'd see him come running full speed to us.

and he lived in the garage at night. There he lived until one day our pediatrician said the reason why my brother had asthma was bc of the cat and my mom went and dumped him somewhere.

I still haven't forgiven her for that. He was the coolest cat. Now that I think back, we still got cats after that, so now I"m thinking my mom
told the dr to say that. hmmph.
Anyway, I think you should keep Kitty baby!