When my son was small, his hands would chap terribly every winter, no matter how many pairs of mittens he wore/lost or how diligently I kept the humidifier going. But one thing provided soothing relief: what he called The Warm Oven Mitts.
I would run his hands under tepid water, then slather them with petroleum jelly (the stuff is endlessly useful), wrap each hand in a heated washcloth (wrung out and zapped in the microwave) and cover it with aluminum foil. Finally, I'd pop an oven mitt on each, working quickly to trap the warmth.
While he sat with these adorably silly things on his hands, I would read him bedtime stories. The heat -- which lasted a surprisingly long time -- and moisture combined to relieve the raw redness on his knuckles, and I felt better knowing he did.
It's a remedy I've used over the years to heal my own chapped skin (one hand at a time if I need to turn a book's pages, or no one's around the house to wrap both hands), and one that may help you.