Thanks for all the replies, and sorry if I haven’t explained things properly.
The house was built in 1994; the living room is just a normal room, maybe 20’ x 20’. Double glazing.
The chimney was cleaned last year, and used very little since then.
It draws fine, absolutely no problems, but we sit with our backs to the door, and there’s quite a cold draft on our backs when the fire is burning. The door is quite well sealed when closed – but when we close it to stop the draft, smoke starts to come into the room immediately. I’m guessing that, when we stop air coming in that way, it has to come down the flue – has to get in to replace the hot air somehow…
I suppose an air vent is the only answer…