Also lift the floor below, and go into the loft above. The brickwork of internal walls is usually shoddily built, since it is out of sight and hidden behind plaster. Look for cracks and gaps, and fill them with mortar. Pack that dense mineral wool against the wall between the floor and the ceiling, up to the next joist, at least. Also take off the skirting and look for gaps and cracks. If there are, or were, back-to-back fireplaces, the party wall between them may be very thin. Bricking up the fireplace (leave a ventilation airbrick) will cut sound.
If the joists go into the party wall
rather than parallel to it, take up enough floorboards to hoover out the slot that the joist goes into, spray it with water to moisten it, and inject Expanding Foam to fill the gap around the end of the joist. Do them all in one go, because the injector nozzle will block with hardened foam if you put it aside. Get at least a hundred disposable gloves, and overalls or bonfire clothes, before you start using expanding foam.
As it is a party wall, see if you can put a floor-to-ceiling built-in wardrobe, with doors, against it. When it is filled with sound-absorbing clothes, and the doors are shut, it will muffle noise. Try not to screw it to the wall, fix it to the floor and ceiling.