Looking at work needed on my girlfriend's house I found that the chimney stack over the rear Victorian 'addition' has no support; the breast has been removed from the bathroom and kitchen below but there is no corbelling or other support. It seems to rest on the firewall which it straddles. Not sure what the case is on her neighbour's side. I looked at the surveyor's report from when she bought the house which noted 'need for ongoing maintenace' but I thought this was much more serious. The roof is tiled and so shallow pitched I am sure there is no support above the ceiling. Should the stack come down? If it were cut in two I imagine the remainder might topple into the neighbour's roof...