Thought I would post a bit of an update. I haven't had chance to speak to my neighbour due to him being away a fair bit, however I have 1, possibly 2 companies coming out to view the wall. With the rain over the last few days the main mark has got bigger and also a bit darker obviously indicating new moisture, which is not surprising given the length and amount of rain we've had.
I'm hoping by getting a couple of companies in to look at it that i'll get the answer i need as to what is causing it, and hopefully they'll suggest the same thing, although I'm still of the opinion that it is something my neighbours side that is letting water in, especially given the issues that the previous occupants had next door.
I do have 1 question though, which I think I know what the answer is but want to double check. Basically, as you can see in 1 or 2 of my photos the roof on my house and my neighbours has what looks like strips of lead flashing joining our houses. Would this be classed as their boundary and as such they would be liable to fix it were it be to failing?
I would also like to add that there are zero signs of water ingress on the same wall in the bedroom above, is it likely that water could get all the way down to the ground floor without leaving any trace of it's path? Just thinking that if the flashing between was failing there would be evidence in the bedroom above?
Once both companies have been round i shall post the results, my guess is it's either the chimney stack or shoddy leanto allowing water into damaged brick or mortar joints.