Baker...first, under normal circumstance, just for the sake of reference...all of your water will come from the same source. It's all plumbed together. The water coming from your faucets outside is the same as the water coming from the faucets inside. No need to boil it...but, again, that's under normal circumstances.
First thing that comes to my mind is that the pipes may have frozen, but I don't think you guys have seen a hard enough freeze for that to happen and it would seize all your faucets.
Second thing that comes to mine is your pump isn't running. Does your system pump water into a pressure tank or a large, unpressurized storage tank?
Here's what a pressure tank looks like:
Here's what an unpressurized tank looks like (just a big covered concrete tank):
Unpressurized tanks are old school...if the entire water system for your house is new or if the house has been built in the last 15 years you'll most likely have a pressure tank.
This would apply to both systems but with an unpressurized system you'd see a more dramatic effect simply because the tank stores more water. See, if your pump stops running you'll still get water for a little while. Not very long, but still. You'll lose water along gravity's effect...first shower heads won't work, then kitchen and bathroom faucets, then tub faucets. Last are usually the outdoor faucets because they are the lowest.
Hmmm...I made a long post trying to explain this to you and don't know if I succeeded...but start with checking your breakers. You'll have a household breaker box, a main breaker box outside, and there may be an additional cut off/breaker for the well pump itself. Check all your circuits and make sure power is getting to the pump and let us know what you find.