I was just about to start writing when I saw Skadi´s comment - I agree. This sweet cat sounds like she has had a loving home at some point to be so trusting. You might want to take her description to local pounds and animal shelters in case someone has reported her missing - or call them and do the same. You may even be able to take her in to someone who can scan her (for free) for a microchip. If she has one, the microchip company may be able to contact possible owners. If she has a tattoo in her ear, leave that info with the shelters as well. You could try putting up a few posters with her description around your neighbourhood too (leave off a detail or two so you can ask callers something specific they have to be able to answer). She does sound like a very lovely girl, but it would be hard to think that someone may be missing her for all the reasons you enjoy her so much. If you do end up taking her into your home, you might want to isolate her from your cat until she´s had a vet check and vaccinations.