Angelic Slayer
Daydream Believer
For some reason I have the inkling that she may have kept it herself. I just personally can't see her passing it to someone else (given that could be partly because I think it suits her overly well 😉). I think there's definitely a possibility that she would keep it for herself, but not nessesarily use it. It was really what ended the last apocalypse (oh my I lost my spelling!) that they fought in Sunnydale, as well as was the root of the end of that part of her life. Given that, I could see her keeping it for sentimental reasons, as a kind of symbol of all she went through in Sunnydale, her growth, her sacrifices, and maybe most importantly so that she could put that part of her life to peace (if that's indeed what she would want to do). Get some closure on being the one and only slayer, but never forget or deny it.