In my motorhome, the CO meter and propane leak detector can use about 0.8 amps per hour. With the refrigerator on, the total is 1.2 amps per hour, or about 35 amp hours per day, what one of my 120 watt solar panels puts back daily.
You can try removing 1 fuse at a time until the amp draw goes away. Then try to figure out what is connected to that fuse.
OR install a pair of 120 watt solar panels, and make up for the power being consumed.
Check the rear TV. It might be 12 volts and draw some power due to the remote control being "Ready to use", so it constantly uses a little power to wait for the remote control to tell it to turn on. Normally people unplug the 12 volt DC TV, and only leave it plugged into 120 volt power.
Also check the inverter. if it is left on, it can use about 1 amp, perhaps the whole 1.9 amps that you are looking for.
Fred.