Hi All,
Thanks to everyone for reading and especially trying to help. I'll try and cover the points raised below but please excuse any quoting issues!
Firstly you need to definitely stop any leaks or everything else is futile.
Two roofers have been unable to stop "the leak" with the last coming back out and doing much more inspecting/dismantling and being confident it wasn't a roof leak. He also said these houses didn't have any ventilation at the eves. Since he identified it as condensation it hasn't had the issue any more despite really cold external temps. I suspect when the tenant heard condensation was the problem he started making more of an effort with the bathroom window.
Where does that come from?
From my research loft condensation is almost always caused by excess moisture from the house making its way into the loft.
And pets? Washing drying indoors? Cooking in unvented kitchen? Lots of plants? Bath left unemptied (yes, I have known that - didn't bother to ask why).
No pets. No tumble dryer so will be drying clothes (family of 5!) indoors, they say they have a dehumidifier but don't know how much they use it. Kitchen is unvented and I'm sure all their food will be homemade. Little to no plants.
Before you bought the house, when you viewed it, was it unoccupied and if so was there condensation such as you now describe?.
The tenants moved in during Oct 23. For the previous 6 years my daughter lived there with no problems. However, single adult and one small child. She didn't cook much. Liked a warm house so heating much used. She did also have a working extractor fan. Also had tumble dryer.
The other thing to consider is with the window closed OSS there enough air flow under the door? If not, this must be improved too
Yes, there is sufficient air flow under the bathroom door.
So far I have sealed the loft hatch as it is immediately outside the bathroom door, Added firehoods to the bathroom downlighters. Added felt lap vents in the loft but I'm going to add more. The bathroom ceiling has no loft insulation. I'm guessing it was removed when the bathroom was renovated before my daughter lived there so once the extractor fan is fixed I'm going to insulate it.
I made a damp/condensation/mould guide (just a single A4) to give them advice on controlling the problem. I've also told him that he is risking the health of his young family by allowing so much damp and that mould is an inevitable consequence.
I lent the tenant a weather station and put the remote sensor in the loft. The living room was only 12C at about noon the other day with external temp being about 10C.
As has been mentioned, the core issue is the moisture created as a natural product of 5 people and the cooking/bathing/drying/breathing needs. The cold house is the main issue as I see it as the moisture is condensing and then there is insufficient heat to evaporate the damp even when ventilated.
I can only do so much. If I get the inline bathroom extractor replaced, especially with a trickle feature, it can only help since it is currently not working at all.
Thanks everyone for reading.