Any bad battery in the coach bank could set up a problem, with the converter/ charger and in turn the inverter .
First thing would be to pull charge and load test the coach batteries, if one is bad and their over 2 years old replace them all.
Then look over the converter/charger for a reset button , if you don't have a manual for it, get the brand and model and post and we will try and find one , check the 110 circuit breakers one maybe tripped.
Was the fridge on an invertor ? If so it should have shut down when the batteries went low. May have a circuit breaker on the unit , but the same thing If you don't have a manual, we can try and find one.