I have added one of those Sears Clamp-ON AMPMETERS that reads both AC and DC ups up to 400AMPS. In this case you would simply CLAMP AROUND the each of the wires that are connected to your battery POSITIVE terminals to see which cable is drawing down your battery. A great tool to have in tool box along with a standard multimeter...

My multimeter is a FLUKE from my workiing days which is a high dollar item but just a $15-$20 multimeter from the many dept stores (LOWES-WALMART-AMAZON) will work just fine...
There is another possibility that your batteries have boiled out their fluids by having 13.6VDC applied over time... This is known to happen and I usually check my battery fluids on a regular every couple of weeks basis. I also do a walk-around sometimes on a daily basis and make note if any fluids are present around the batteries.
In my case when stored I have a complete battery manual disconnect engaged at the main battery switch. My setup does however have a couple of cables always connected to the positive terminals being my roof raise switch, 12VDC connection to my break-away assy that would apply 12VDC to the electric brakes, and a 12VDC connection coming from the 7-way Truck cable junction box that would allow my batteries to get a trickle charge from my truck start alternator system when the truck is running...
In my case with everything still hooked up in my trailer and I leave my batteries connected I will start seeing them going down in 12vDC Voltage after just a few weeks without a trickle charge source applied... A fully charged battery should read 12.6-7VDC across the terminals and if you let they drain below their 50% state of charge (around 12.0VDC) then internal damage to the deep cycle batteries will start occurring. Also in my case when I had a single mode converter/charger always on shore power when my trailer was sitting at home the 13.6VDC would start boiling out my battery fluids after a month or so and if the fluid levels get below the internal battery cells then the possibility of getting a shorted cell can happen. This is usually a game-over situation for the battery. I have lost one in my battery setup when I first got my trailer with four batteries installed on the tongue area. The industry has discovered that if your trickle charge is 13.2VDC the boiling out of battery fluids is much reduced. This is now part of the industry standards DC voltages for the smart mode multimode converter/chargers units.
Since 2009 after I installed a good brand Progressive Dynamics Converter/Charger (PD9260C 60A model) I can almost ignore my simple battery maintenance checks etc. They are all the same now but out of habit I still make my simple checks listed above...
During the long winter months I usually just switch out my batteries and leave them on my trailer tongue of my off-road trailer and the DC VOLTAGES will drop from 12.6-7VDC down to around 12.4-5VDC over the winter months completed disconnected..
Comments here all based on my experiences...
Roy Ken