It has been super cold the last week. We have let our faucets drip overnight. I took a long hot shower, then after I got out, all the faucets in the house had no hot water pressure at all. The cold water works. I put a heat lamp in water heater closet over night. No luck. Any suggestions?

If you took a long hot shower and then the pipes stopped it is not likely they are frozen. Put a bucket under the water heater drain spigot and open it. Tell what you get