Regarding stone wall and cavity versus insulation, just to clarify/explain and prevent misunderstanding:
Cold stone will cool down any warmer air coming close to it and bring that air closer to dew point when it will shed/dump its moisture onto the stone's surface (condensation), just like happens with a container fresh out of the refrigerator. If the air in contact with the stone is already at more or less the same temperature then nothing much is going to happen unless the air is at that point already at its dew point (as for example when fog brushes up against outside stonework).
If insulation is applied to the stone and completely covers it then any warm air going past the insulation will hardly cool as a result of where it is - little or no likelihood of condensation.
If you have a free cavity between the stone and a plasterboard skin separated from the stone wall then there is a possibility that condensation will form on the stone and, at the contact points, wet the studs. In this case use treated wood in the studs and hope that the dampness will not significantly travel to the plasterboard via the studs. The more warm air that flows through the cavity the higher the risk of condensation, and if that warm air comes from within the heated dwelling then the heat loss is all the greater. If the air is cold air from outside the dwelling (central cooling) then the heat loss will be truly significant but caused slightly differently because the plasterboard skin will be continually cooled down and is itself likely to give rise to risk of condensation (on the wall surface inside the house, paint, wallpaper or tiles)
Thus, if you create a cavity behind a plasterboard skin set away from the stone wall AND fill that cavity with insulation then there is technically a diminishing likelihood of condensation because there will be very little air movement within the cavity and therefore no significant migration of moisture into it in order for its moisture to condense. This depends on the insulating material itself not collecting/conducting moisture to any significant degree and the void being thoroughly filled with insulation and no significant air pockets/"holidays" present. The whole thing will be most challenged when temperature differences inside and outside the dwelling are greatest (freezing outside, heating working correctly).