Originally Posted by
silentC
Bit hard to tell from the picture, but is the cornice plaster or timber? If it's timber, you could prise it away and you might be able to see what's up there. If you're right and they're not structural (I'd be surprised but people do some strange things in houses) then they're probably still going to be difficult to get down without making a mess. I'd be inclined to go with John's suggestion and just hang a new ceiling over the lot, although by the look of the third picture, your ceiling height is already pretty low.