A hood or long hooded cloak especially of a monk. (Merriam – Webster)
A draped neckline on a woman’s garment. (Merriam – Webster)
A chimney covering designed to improve the draft. (Merriam – Webster)
A hooded garment worn by monks. (Dictionary.com)
The hood of this garment. (Dictionary.com)
Cowl with hood.
A hooded cowl is a mantle that hangs down over the shoulders and chest, rather like a short period-poncho.
OHHIO. Macaron Cowl.