Still not sure it’s working correctly. I reset the dials to where they originally were. A day later I used my instant read thermometer in the kitchen faucet and water was only 99 degrees and only 100 in a bathroom. I could tell it was cool when I took a shower.
Today I bumped up both a bit and water was 105. Of course it’s 40 here in FL. I will give it a few days to watch it. Maybe bump it up a bit more. DH now agrees to call a plumber. In a few days. We’ll see.
Usually electric water heaters have two heating elements. They do occasionally quit working, and are not difficult to replace. A plumber (or electrician) can check their operation easily. If working correctly, the water should get to within a few degrees of the setting within an hour. Outside temp has almost nothing to do with this.
As to those water alarms. I have them on the floor near the washer, water heater, and under the kitchen sink. They are not much bigger than a deck of cards, cost about $10 at a home center, and will go 5 years on a 9v battery. They have saved us $10's of thou$and$! In water damage and kept the insurance bills low.
Jim