Stop! don't start cutting your floor up. It was a chimney in a 1930's house. For sure there will have been combustion products, water sometimes coming down the chimney and lime and other building products in the bricks and mortar. The bricks backing the chimney will be loaded with salts created by the reactions of combustion products with water/ lime etc. - just google "hygroscopic salts" and "chimneys" and read umpteen articles on the subject.
The problem is that the salts in the bricks attract moisture from the room air making the wall seem damp, and allowing crystals to grow - often can be seen as fluffy white efflorescence . Often , plaster and skim looks like it never dries. The problem is exacerbated when wet trades (plaster, dabs, self levelling etc.) are applied over salt contaminated bricks - the water in the "wet trade" draws salts from the underlying fabric as that water evaporates as the material dries, drawings salts to the surface, that then carry on pulling moisture out the air.
Dehumidifier will help, and also damp seal paints and primers can work to some extent (in my practical experience) to stop humid room air getting to the salts. A better fix is to strip back to brick, and isolate the salts in the brick from the plaster decoration (again in my practical experience - foam plasterboard adhesive proves to be a very efficient barrier to salt transmission). It is also quite possible that the hearth is still damp from all the water that has come down the chimney and as this moisture is evaporating, it is also being absorbed by salt contamination exacerbating it.
Personally, just 3 months in I would live with it for a year and see where you are. You can then take a view as to whether it is a big enough problem to intervene or not. It's an older house - it's always going to have a few areas that need attention occasionally