Did you find a cat? I have a lovely spayed 1.5 year old black cat. She was adopted from Humane Society, given to me as a gift. (odd I know) I named her Jane Doe. She is sooo sweet and wants to have a human she can call her own. I already had a cat, and that one has not been willing to share.
Jane is mainly indoor cat. She also goes outside and will stretch out on lawn in backyard and nap for hours. I have a dog door so all my pets are free to be inside or outside.
I don't know if she's a 'mouser', I've only had her since March. Dm me if DallasRain & her side kitty, Jane sounds like a good match to you