Is it an old village house? As you will know most locals don't actually live on the ground floor and it acts as a natural damp proof course ie. the damp doesn't rise to the first floor.
If the moisture is coming from the floor then you could dig out any mud and loose stone until you reach the beadrock, cover with a waterproof membrane and then poor cement over and tile the area. This made our basement floor very dry but the walls are still moist at times. This would be very time consuming but what you could do is dig out all the old grout ( likely to be mud ) as far into the wall as you can ie, about half way across each stone. Then wet the area and fill in around every stone ( point ) with monocapa. This can be purchased at any buliding merchants. Make it up according to the recommendations. It will set hard and prevent water penetrating. You can either leave the stone bare or plaster over it when you are sure there is no water penetration.

You could also try a de-humidifier if the problem is not extreme, you would probably need to keep it running permanently from Autumn to Spring.
I don't know if any of this is useful but contact me if you need any more info. on renovating an old townhouse as I have experience of this and have spent many happy days digging out basements and digging soil from around rocks!
PS. monocapa pointing also adds great strength to your walls, great if the house next door is abandoned and falling down!! Don't listen to any builders who say slap on some mesh and cement, it will just absorb the moisture!!