As far as breed, she looks like a red sex link, which comes under many names, golden comet, cinnamon queen, etc. I would tell the person where the rehomed bird is going and let them decide whether to quarantine at their place, or have you do it. Regardless, I would always quarantine a new bird for a minimum of 4 weeks, no matter where it came from, just the sensible thing to do. If you have never had a known health issue in your flock, like a respiratory disease, LL, Marek's, etc. then I would lean towards this being a reproductive issue at her age. I've had cancers that obvious symptoms came up quickly and the bird passed quickly, and some that lived much longer, same with infections. If/when she passes I would recommend a necropsy, then you will know for sure.