You did not state how hot, hot was on the battery however we will assume it is hotter than normal when it should be ambiet temperature for where ever you are.
I agree, a hot battery leans towards high energy going in or coming out. In your case, going in.
A new battery from the store could be drained down some from just being filled or not charged since being filled. It is not uncommon to take over night and maybe the day after on a normal charger (~ 8 amps) to bring the battery up close to full capacity. But it should stop then.
Standard charge is in the 13.65 volts area. If it is cranking in 13.7 or even worse, 14.0 and above for 2 plus days, it points to your current/voltage regulator going out on the converter. You will cook the battery dry in about a week this way, maybe sooner.
The older converters are not the best at battery charging. Getting a new Progressive Dynamics or other good new 3 stage smart charger with desulfate mode will make your battery happy.
Odds are high your older charger may not even have a float mode, drops to 13.25 volts once the battery is fully charged. So they just keep pumping in the current.
Good luck and hope this helps
Current Sunlines: 2004 T310SR, 2004 T1950, 2004 T2475, 2007 T2499, 2004 T317SR
Prior Sunlines: 2004 T2499 - Fern Blue
2005 Ford F350 Lariat, 6.8L V10 W/ 4.10 rear axle, CC, Short Bed, SRW. Reese HP trunnion bar hitch W/ HP DC
Google Custom Search For Sunline Owners Club