I did walk a little over a mile, according to my "trusty" pedometer, but I do know it was over a mile - according to the mileage on the car. My husband and I walked after he got home from work. So very different walking after dark as you can peer into the lives of people's homes as they have their lights on and curtains open. (not that I am a peeping tom - but I did notice one of my distant neighbors has 3 deer heads on their wall - INTERESTING!)
I find it so odd to see a frozen lake -- I don't know if I could trust walking on it, much less build a fire on it - such a foreign concept to me! Those of us would never take a young child in that kind of cold weather - we would be scolded for exposing to the cold air and surely the child would get sick.
IN terms of a freezing camera - I think I would put it inside my shirt close to my body to keep it from freezing and then take it out for a quick snapshot... would it still freeze? Of course if it froze it might stick to your skin or make you cold!
Gotta scoot - work calls.