In 1996 (or thereabouts), I lived in Maryland, and my family lost power for 6 days due to a snow/ice storm that took out a ton of power lines (water froze on them and the added weight pulled them down). We had no natural gas service, and our running water was provided by a well in the backyard that had an electric pump. So no electricity, heat, or running water for 6 days in ~20-30°F weather. (Fortunately we'd prepared by buying many gallons of drinking water, and filling up bathtubs and buckets with water earlier in the week.)
We had two fireplaces in the house, one each in the living room and master bedroom, so we kept all doors closed and all slept in the master bedroom. They did a decent enough job keeping us somewhat comfortable while wearing several layers and winter coats at all times, and sleeping in sleeping bags and with extra blankets. (An oddity of our house was that the chimney ran through the middle of it, not outside an exterior wall, so even some of the heat going up it would warm the house a bit.)
After 4 days my dad felt the roads were clear enough for us to go to a motel where we could shower and experience some heat. Going back to the house after that (before power was restored) was in some ways worse than enduring the first 4 days.
Granted, the reason for that outage was very different from what happened in Texas, but I just wanted to highlight that our power grid everywhere is still very susceptible to bad weather. (Well, ok, this story is 25 years old, but I suspect things haven't changed all that much.)