I’ve done exactly this on my 1885 granite walled property. We had Icynene permeable foam poured into the space between the lathe & plaster and the external walls. You should research this foam and the few companies set up to install it. Our home is transformed: draughts gone (esp around windows), massively warmer and quieter. We sprayed Icynene between the roof trusses also and so have a warm clean and dry loft. There’s lots of ignorance and doubt about this type of permeable foam, and you’ll find a lot of people have not heard of it, or are very sceptical. Check out the 10yr+ research done by Scottish Heritage to validate it’s effectiveness at isolation and also in avoiding damp.
Is this the same foam that mortgage lenders wont lend against? I had no idea that this is an issue until the people buying our house had to remove it from their roof as nobody would grant a mortgage to their buyers.