I don't do anything different in winter with mine Donna. I make sure to turn the contents and see that it stays dampish but that's it. Remember though that I live in Scotland so things may be different where you are.
You live where it is quite a bit warmer than me, but I would think it will still compost, just maybe a little slower. Mine would freeze solid here.
As the sun lowers in the sky, day length shortens, and bacterial and other microherd populations will slow. The speed at which compost breaks down will also slow. When I lived in the lakes region of NH (zone 4-5) I needed a compost bin bigger than four feet to each side, and monthly additions of manure to keep the pile above frost. Your Virginia barrel will also slow. Spring comes, and the whole proccess speeds up.