Herk has it almost right! Batteries lose less in the cold than in the heat in terms of self discharge...but Parasitic loads will definitely drain a battery and kill it over time...sometimes a very short time.
Charge your batteries fully then leave in the coach and the cold...and remove the negative wire or buy a battery disconnect switch which is more convenient. They will still be over 1/2 charged 3 months later..at which they will need to be recharged. This applies to House and Chassis.
It sounds though like your batteries must have been fully charged just 3 weeks ago...so that sounds like a fairly significant parasitic drain or a defective battery.
To check for a parasitic drain...use a Clamp meter on your positive battery wire when everything is turned off and see how many amps are flowing.
Just a 1/2 amp draw, 24 hours a day means 12 amp hours a day and about 10 days to a dead battery. The solution is to start pulling fuses until the draw disappears and then you'll know where the problem lies. Easiest way is just to get a disconnect switch.
$5 bucks at Walmart