Hello BB
Generators have their place, but they can be a real nuisance on caravan sites.
Bearing in mind your none television comment, then it is a strong proposition to survive on a 110Ah battery for several days without a hook up. Its not the pumps you need to worry about, they actually use a relatively small amount of power compared to the lights and fans in the caravan.
just a quick thumbnail calculation a water pump may be run for say and average 3min an hour (or less) and it uses 5A. 3Min is 1/20th of an hour, so 5x1/20 = 0.25Ah x 24Hours = 6ah per day and that will be a lot of usage it will probably be much less than that.
By comparison your average florescent caravan light uses about 1.2A and they are on (in winter) for say 6hours per day so that is 7.2Ah per day per light! You hot air fan will use a similar amount of current per hour, so you can probably do the maths.
A generator may seem like a good idea, but from a technical point of view, the cheap two stroke units tend to be rather poor at regulating their output voltage and surges from the set have been known to damage some of the more sensitive items in caravans, plus they are quite noisy. So they are probably a no-no for caravans.
There are better quality generators that use inverter technology. These are much better but are a lot more expensive.
Regardless of which petrol generator you use, such small units are all hopelessly inefficient. You would be lucky if 5 to 6% of the petrol you burn as usable electrical power.
Its far more efficient to run the fridge, water adn space heaters on gas where you are guaranteed to be getting more than 70% fuel efficiency.
There are alternatives, Solar panels, even in November a decent sized panel (60 to 100W) will extend the charge capacity of your battery.
Change your lights to LED bulbs, these use a fraction of the power of incandescent bulb.
In fact if you are only using such small amounts of power, then you could even couple up to your car battery provided you go out each day to recharge it.