We don't have synonyms for chimbley yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are chimney, thimble and chimley.
(n) :
(UK, dialect, Caribbean) Alternative form of chimney. [A vertical tube or hollow column used to emit environmentally polluting gaseous and solid matter (including but not limited to by-products of burning carbon- or hydrocarbon-based fuels); a flue.]
(n) :
(UK, dialect, Caribbean) Alternative form of chimney. [A vertical tube or hollow column used to emit environmentally polluting gaseous and solid matter (including but not limited to by-products of burning carbon- or hydrocarbon-based fuels); a flue.]