Some bits of the Spitfire were made of wood, not many, but some of them. Early fixed-pitch props. were wooden and there are wooden battens fixed to the underside of the tailplane ribs. The skins are riveted to the top of the ribs, but the underskins are screwed to the wooden battens.
In 'The Da Vinci Code' ( a comic if even I read one), the hero/heroine/bad guy flew his private biz-jet into Biggin, taxied into his hangar and then turned the aircraft round inside the hangar. It must have been a huge hangar and built like a brck outhouse to withstand the jet blast. The rest of the book was rubbish too.
On the other hand, the Science Museum exhibition is excellent.