Did I damage my house batteries?

Thanks for the responses. My motorhome is a 2018 Thor Miramar 35.3. I will have to look at the inverter/Charger and see what the model is. The old batteries were still working fine but once I saw the one battery swollen, I wanted to change both of them.

Would turning off the battery switch while plugged to AC at my storage facility keep the batteries from overcharging? We do have stuff in the fridge so still need to be plugged in.

Burch