Paws has described the chemical method of checking the charged state of a battery, but unless you have access to the hydrometer, your non-the-wiser.
You don't tell us the capability of your charger but the majority of the 'intelligent' off the shelf chargers are typically 3 to 4 Amps output. There are some excellent branded products on the market, but sadly there are some pretty awful copies, which don't cut the mustard.
If you read the instructions for brand leaders they do tell you that fully charging a battery using their product under some circumstances can take several days, as the system changes its charging regime according to how the battery responds.
I personally have come to the conclusion that most lead acid batteries are more lossy that Paws suggests, only retaining about 60 to 70% of the energy you think your putting in, so from flat to fully charged using a 3A charger I would allow at storing energy so I would allow a 110Ah battery to charge for roughly 50 to 60 hours.
Obviously such a slow charge will not be practical when on site in a caravan, so the caravans inbuilt power supply and charging will do a better job though they don't fully charge the battery.
I am by nature quite sceptical about advertising claims, and over recent years the public has told in so many ways that Digital means better. Well sadly most 'digital' equipment still has to interface with the good old analogue world, and as a consequence the mechanical errors in the old style meters etc are often still there behind the digital readouts of the new.
Basically just because something claims to be digital doesn't always make it better.
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