With the greatest respect to Tez...... there are a couple of things I'd like to disagree with. I would be very surprised if a 1930s semi was not cavity built. Worth checking because cavity wall insulation would go a long way to alleviating what is most likely a condensation problem.
Removing insulation would also likely make the condensation worse. Make sure plenty of insulation is packed well into the eaves. Usually you would have to mess about with eaves ventilation (roofspace cross ventilation). In your case you have the perfect method of roof ventilation. Take down ALL of the board that has been tacked under the rafters. This is the root of your problem. The boards are preventing the natural flow of air (and water vapour) from escaping between the tiles(or slates).
In a perfect world ............ fill the cavity (if there is one) ............ load the ceiling with insulation, making sure that this connects completely with the cavity over the wall/ceiling junction (the most vulnerable spot)................. take down the boards under the rafters and let the roofspace breathe..............