Hi Jeff
Connecting to the house supply is OK to keep your battery charge "topped up" in its housing. ie using built in caravan charger.
However to fully charge your battery, especially during/after a winter lay-up, you need to use a "smarter" charger with more capacity. ie higher initial voltage and current.
This higher charge can cause your battery to "gas" to some extent, and it is advisable to remove the battery, preferably into a cool dry place.(the garage for instance)
Regards
Dave