Maybe make her a safe place for her to brood and then give he some eggs, then if she sits were you want her to, you know where shes at, and make sure she gets of the nest once a day to eat etc. Id find her a place to brood.
Oh yeah, I have one with 7 eggs due to hatch in a week or so, and another hatched a bunch in November. There was a thread going on here recently, something like, let's all talk about our broodies.
We've had quite a few nights with lows below freezing, and I've had waterers frozen solid. Granted, this isn't Canada, but I call it winter....