What Woody said at the start is fundamentally true. Cooler air has less moisture-holding capacity, so the same amount of moisture in the air from the various normal sources will cause a higher relative humidity level in a cold room versus a warm room. In this sense, what these RH meters show is only a guide.
The key questions would be: do you have real evidence of high moisture levels or damp? E.g. mould on walls (any house can get this behind units against external walls, but still an indication of excessive moisture as well); damp/musty smell; condensation on windows (this is more normal in winter and doesn't necessarily mean a damp problem, but again, suggests excessive air moisture) - if you don't have these, then you don't really have a problem. If you do, it doesn't necessarily mean there is a serious damp problem, there can be small fixes.
As others have mentioned, do what you can to fix any issues that could cause penetrating moisture (bad drains, etc); maintain ventilation in the home (be willing to have windows on the latch or vents open even if it means losing some heat); and as a precaution, use a dehumidifer in winter. I use a dehumidifier in winter for an hour a day - cheap efficient one and it helps take the edge of moisture levels in a colder house in a very damp climate.