The short answer is - not very well, especially if you're a regular winter hiker. When they freeze up (and no matter what arrangement you rig up they will at some point) you'll be at risk as well as your companions because they may need to share their water to get you off the mountain.
The best solution is to start with a boiling drink, like tea or anything you like, just so long as it's as hot as you can make it. Put it in a liter Nalgene in an OR water bottle jacket and hang on the outside of your pack. If you can afford it, get two or even 3 of the OR jackets - EMS makes a pretty good knockoff but the Northface knockoff is usually too small. If money is an issue, then put the other Nalgenes in wall socks, and try to wrap them in something warm (like fleece, a hat, etc) and put them in your pack.
Other tip - for the Nalgene hanging from your pack - put it in upside down, so that if it freezes, the threads will be clear.