Just three days ago I replaced my pair of 6-volt Interstate house batteries with comparable new Interstate 6-volt batteries. After being plugged in and camped since then when I unplugged today to test my new batteries they showed a charge of 11.9 volts. Are you saying they were already more than 50% depleted (12.1 volts)? Does that mean my new batteries are defective?
After having worked in a Delphi battery plant in the 1999 to 2005 times period, and being the second shift person that charged the batteries, I can tell you it's best to not take a battery straight off the shelf, especially if you buy them at most auto parts stores or car dealers, without putting them on a charger for a few hours before installing and using them. You want to charge them at a fairly low rate for those hours.
Now this of course applies to wet cell batteries I'm talking about....
glenncc, if you were plugged in that whole time, I think you need to check to see what your converter is putting into them, and make sure you have good connections