Well, I assume your RV had operated properly when it was plugged into campground power.
With that said, you have a problem with your receptacle wiring in your shop. Check to make sure both your GROUND and COMMON are wired properly. I've seen this before, and the guy was butting 220-VAC onto their 110-VAC RV circuit. You need to fix this immediately, and hope that you have not blown up your RV Power Control panel, as well as other built-in accessories.