This is your 110 Ac drawing:
https://www.winnebago.com/Files/File...ire_148959.pdf
I did a snip of what I might suggest as a first stop for checking as the transfer switch does have some rep for screws getting loose and now would be a good time to try them and tighten any that might be suspect----as well as check the voltages there. Click this drawing to get a better view!
There are two drawings for different size genset, so I choice to copy the smaller as the difference only appears to be wiring size.
Can we assume you have tested and get the same answers when running on generator? If something odd, that might give a quick hint to the solution?
I did some markups to show what I suggest. Depends on personal line of thought but when checking voltages along a line, I like to first see that it gets to the item and then also check it is leaving at much the same level, so I would check the incoming as well as what is going out to the load center???
I would want 110 from incoming white wire to black and also to red, then the same on the outgoing wires of same colors. Also, since they are not in phase, a reading of 220 from black to red might be expected even though you do not have 220 in the coach. but two sperate 110 leads.
If all is well there, next stop would be on page four of the drawing at the load center where the current sensing is done to look for loose or any signs of burns, etc.