It does sound like you've burned out one of the heating elements (there are normally two). If you have a multimeter, they can be checked if you know and understand the procedure. Messing with electrical systems can be dangerous if you don't know what you are doing, but are safe if you do and don't get careless. If the tank is more than say 7-years old, it might make sense to replace it and get a new warranty. A tank can last anywhere from a few years (uncommon) to 15 or more (also uncommon). Anything after around 5-7, though is on the down side - it could go any time, or last for awhile; there isn't an easy way to tell. SO, get someone to check and replace the elements and thermostats, and electrically, anyway, it is nearly a new tank and hope, or if it is in that middle-life time, think about replacing it.
The people working on the trailer should have known to turn off the WH while they had the water off. But, as was said, the tanks don't normally siphon themselves out. If an element is uncovered and then turns on, it will quickly burn itself out. It needs the water covering it so it doesn't get too hot (the element, not the water).