A common feature of old barns is an external lean-to structure added to one or more walls, often retrofitted, but not necessarily insubstantial. Here's a lovely example at the gable end of "The Long Barn" in Ceredigion:
Here's a cross-section of a similar structure, this time at the side of the barn with the upper roof overhanging slightly:
My question is: would you recommend insulating the entire inner wall floor-to-ceiling, or could you get away with just the dotted areas? I'm trying to preserve as much exposed stonework inside as possible, but without giving myself an insulation / condensation problem.
Edit: assume that the lean-to is completely insulated roof and exterior walls.