May I jump in with a question as well? We also have a brick structure - an old (1870) school house in nw PA. The soft brick walls are 3 courses thick with air gap between the courses - enough room for mice to travel back and forth. We also are hoping to frame and insulate on the interior. My initial thought was to proceed in this order: drywall, 1/2" blue board, 2X4 studs, weather resistive barrier (lowes housewrap), brick. Between the studs I had planned to cut and fit blueboard (perhaps up to 2" thick) and use spray foam from the can around the edges to make a better seal. Upon reading the initial posts, this may not be adviseable. To avoid moisture problems with the wood/brick interface and build wisely - is there a better order to follow? Also, would I be better advised to use the polyiso rigid board between the studs, rather than the rigid blue board? I have been searching for info for quite some time and this thread has already given the most specific info by far. Thanks in advance for any help you can give. Eric