Short version- waterproof boots, wool socks and a fleece, and have fun. It's a pretty tame area and as long as you guys keep moving, staying warm won't be a problem. maybe a day pack with lightweight stove for hot drinks or a soup at your halfway point would be a good morale booster and mental comfort.
I have lived within 1 hour of this location for the past 10 years of my life, and have hiked in that area at least 10 days out of every year, so I feel fairly comfortable with commenting on it. Winters in that part of the woods aren't terribly bad, but definitely bring waterproof boots/shoes, wool socks, and a fleece + windproof layer. Any sort of synthetic pants should be fine. I've spent the past few winters in the higher mountains North of there, in snow up to 4+ feet deep on Mt. Mitchell. Postholed my way up and back down an 7.6-mile out & back (3000+ ft gain one way) trail wearing gore-tex boots, wool socks + silk liner, blue jeans, synthetic t-shirt and fleece in 25 deg. I think I was out for maybe 7 hours and was soaking wet from the knees down for most of it (yeah, I know i should have turned around when the snow went from 1 inch to 1 foot, and again when it went from 1 foot to 2 feet, and so on). Wool socks + the gore tex liner kept my feet warm, if not dry, from all the snow coming in from the top of the boot. I dunno, I figure if I can wander around the woods for 7 hours in blue jeans and snow up to my waist on a steep and not well-marked trail and come out the other end happy and warm, you guys can do it much better by wearing the right clothing and using some common sense once you get out there.