Wow, great answers and suggestions on this forum. This morning I measured the following using Hitech's suggestions:
Coach battery volts with the leads disconnected 12.76V
Volts with the leads connected and the vehicle running 13.95V
Volts with the vehicle shut off and the leads connected 13.12V
Volts with the RV connected to shore power from my garage 15amp outlet 13.01V
As of now I have the RV plugged into the shore power with the battery disconnect switch off so I can charge the battery. The gauge in the RV shows a full charge on the coach battery now. I'll leave it that way for a couple of days. If I understand Hitech's conclusion, the battery and charging system is ok because the volts when the vehicle is running is greater than the volts with the battery disconnected. Unless I misunderstood. If I understand what happened and judging from others comments, My fridge normally would draw that battery down fairly quickly running on DC and the vehicle shut off. And maybe the solution when parked and not on shore power, is to run it on propane instead. If anyone thinks I still have a problem let me know otherwise I think it was just operator error running the fridge too long on DC only with the vehicle off disconnected from shore power.
I really appreciate the knowledgeable people on this forum and if anyone has any more ideas please let me know....thanks a bunch....Don.