Voltage is not what you are looking for - to charge batteries, you need amperage. The voltage can read 14. 1 but you still can have very little amperage flowing to the trailer due to small factory wiring. Here's what I did. Run 8 guage wire from the battery through a 30 amp automatic resetting breaker, then through an isolator, back to the trailer plug. With my batteries down 50% (around 12. 1 volts) I can get an initial charge of around 15 amps which will restore most of what I lost over the past night in 6-8 hours of towing.
I do a lot of dry camping and I use 2 6 volt golf cart batteries which provide around 210 amp hours of current.
If you are using the batteries hard, you will need to charge the trailer directly from a generator hooked to your shore power. Your trailer power convertor should be capable of charging the battries at around 40 amps. I can recover 95% of a 50% - 60-% drain in around 4 hours of charging.
For charging, I use a 1800 watt Coleman Powermate generator which is excellent for battery recovery. Do not try to run an air conditioner or microwave oven on a generator this small.
If you are a serious dry camper, you need a computer in the trailer that will tell you exactly what is going on with your batteries. I use the Trimetric from Backwoods Solar. You can get information on this device at:
http://www.backwoodssolar.com/Catalogpages2/meters2.htm#Meter Basics
This web site has a wealth of information on living independent of shore power. I have found their products, service and expertise to be among the best. Check them out and happy dry camping.
I charge on the road when I am travelling. When I am dry camped at a race, I can run my system fairly hard (furnace, power vent and inverter for TV/VCR) over a 24 hour period then charge for 4 hours daily with the generator.
To keep your batteries in top shape and to maximize their life, you will also need to equalize them regularly.
Good luck and happy dry camping