Ok.... I have been busy making further investigations.
What I have found out is that above the damp wall is the bathroom where the boiler is. The pipes from the boiler bend within this wall on the upper floors to feed the radiators to the upstairs bedrooms.
Where I could see the pipes enter the wall there is no sign of leak, but I couldnt get further in to see if there is any possible leak to where the pipes bend.
Possibility maybe?
The boiler since we lived here is 10 year old cheap baxi that has been on the blink and we have a plumber who has come a few times to replace parts.
We want to extend so have it in the plan to replace the boiler for something suitable when the additional bathroom is installed and therefore putting up with having to reset the current boiler on a regular basis.
It loses pressure approximately once every month enough for it to need topping up and resetting, and also has a fault where it 'kettles' when running the hot water for any length of time.
Ive contacted a few more damp specialists and surveyors.
The surveyor wanted a few hundred pounds for basic survey.
The damp specialist I chose to call was one specialising in heritage properties and using breathable solutions.
I had high hopes, but when I explained what was happening he was just talking about coming out to take the skirting off and remove the carpet to investigate the DPC, and also wanted to charge for the survey too.
I have a hygrometer that I keep on the floor next to the wall. Which is showing a current level of 56% humidity.
This fluctuates throughout the day depending on if Ive been cooking or if the windows have been opened, so not too sure its much to go on.
Generally its pretty stable though and apart from over winter, I havent had the dehumidifier on and there is no condensation appearing on any windows.
Not too sure if this gives much more of an insight @pigletjohn...