I return from the weekend one camper richer and with a little more information to share. I want to first say thanks to those that are following me with this and helping me work out the details.
So it appears the converter in the camper is a BW Series 6400 Model 6406. There is a switch on in showing Conv.-Off-Batt., and I have no reason at the moment to suspect the converter is not working properly. What little research I have been able to do has shown that this converter WILL NOT charge the batteries.
The furnace is a very basic setup. There were not any markings on the front and I did not have the time to dig into the cabinets to get make/model on it. However, I was able to determine that it is propane/electric. Propane for the heat and of course electric for the fan.