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Both sets have a pair of bolts holding them in my coach. When I first tried to move them they wouldn't budge. Blew the track out with air and soaked them in oil. Eventually they came loose. Good luck.

The batteries would be charged by a converter - look somewhere near the 120 VAC breaker panel.

My converter is located under a floor in my rear closet.

The switch you're talking about is called a 'Manual Transfer Switch'. And it does just what you're saying. When on 'Shore Power', current from the source of shore power, activates the alternating current breaker box(not to be confused with the dc fuse box). One of the appliances that is powered through the alternating current breaker box is a 'converter'. It takes ac current and changes it to dc current. At the same time, the converter has a battery charger which is usually hooked up to the house batteries, thereby charging them. The generator is an ac generator that does the same thing as shore power but of course, not at the same time.

Larry, I just looked at the pics of your Barth on Photo Bucket. There are three places I would check for the converter. Under the bed, which I'm guessing you've already done, the closet,(maybe under a false floor) the rear storage compartment.
BTW, the pics don't seem to show anything that would have tipped you off as to the amount of corrosion you have had to deal with. I'm really sorry about what has happened. I've had similar experiences but not anything as bad as you've experienced.
Jim