There are "parasitic" drains from alarms, possibly a radio, and perhaps lights left on somewhere. You probably have a battery cutoff switch near the battery that's intended to be used while in storage. If you have a residential refrigerator, you may have 2 cutoffs.
Sorry for the slow replies but I am out of country until early December.
I replaced the crappy Aims Inverter Charger with a Victron unit and started going through everything that I could think of that was drawing power, and found that my RV Refrigerator was on AC and not propane and it was drawing the largest amount of power.
Right now I am down to around 7 or 8 amp draw on my batteries when I am on shore power, and the Victron has a charge only switch for when I am towing. With that flipped there appears to be just about zero draw on the system.
The batteries do not like the cold and I am going to have to find a way to insulate them for they would drop to 11.84v with no use when the temps dropped into the low 20's. Fortunately they did not freeze.
Now that the rig is in Florida the battery voltage is at 12.77v constant on shore power and the wife is happy.
I do have to put in more power as the darned Microwave really hammers the batteries, and it says that is is a 1500 watt input but 900 watt output, which seems very inefficient for this electrical novice.
Need to see if I can find a unit that is around 1000w in and 900w out, or something along those lines.
Gavin