Biggon

from The Collaborative International Dictionary of English v.0.48

Biggon \Big"gon\, Biggonnet \Big"gon*net\, n. [F. b['e]guin and
   OF. beguinet, dim of b['e]guin. See {Biggin} a cap.]
   A cap or hood with pieces covering the ears.
   [1913 Webster]