Batteries should be the same type (AGM, wet cell, etc.), age, and condition. If one battery is older, even though it is in good condition, it will drag down the new one. IMO you should have replaced both batteries when the first one went bad.
While your motorhome is in the shop, they will probably check the output of the converter/charger to make sure it is not putting out too much voltage. If not, I would certainly ask them to do so just to be sure there is no problem there.
Below are two sites on batteries which I have found to be useful.
http://www.phrannie.org/battery.html
http://www.ccis.com/home/mnemeth/12volt/12volt.htm