Thanks, all. I actually live in NC, so it's a warm, humid climate for most of the year.
I forgot to mention: I'm also planning to put up a layer of plastic material known as mass loaded vinyl (MLV) over the studs after insulating the walls. MLV is standard for many soundproofing projects. I'm not sure if the MLV qualifies as a vapor barrier but it would almost certainly help prevent moisture intrusion into the home, right?
So basically, the layers would be:
Exterior bricks --> Black fiberboard material from the 50s --> Mineral wool batts --> Heavy plastic (MLV) --> Drywall
Does the fiberboard itself function as a porous air gap of sorts? I'm just wondering what about this setup might cause a problem and what the problem might be. There's no siding on this house that's going to rot, so that's good. Am I supposed to be worried about the framing rotting away? Mold growing on everything? What, exactly?