Is the landlord responsible for replacing a tenants carpet after damage from a leaking roof?

Maintenance

If someone has been a tenant for 57 years at the same property, would she be responsible for replacing her carpet if the roof leaked and came through her ceiling?
This is a property where the letting agent has not carried out the maintenance work around the house over the years including:
very old and dangerous wiring;
bulging ceilings looking as if they are about to collapse;
damp outside walls where the wallpaper hangs loose. The outside bricks badly need re-pointing and there is only one row of bricks as it is a house dating back to 1800 and something. The bricks are now porous so thus the reason the outside walls are damp on the inside;
there are insects crawling under the wallpaper in one of the rooms and unfortunately this is the room the lady users as her bedroom.
I suspect that Environmental Health would condemn the building. I know the lady wishes to stay where she is as she is 88 and does not want to move. Thus the reason I have not reported all the problems to the council.

This is a privately rented top floor maisonette.