billycock

noun

1. (dated)A felt hat with a rounded crown, similar to a bowler.

   “a young man with a billycock hat on the back of his head tumbled up the steps in his eagerness.”

   “All this blazed up and showed faces far back, round, pale, smooth, bearded, some with billycock hats [...].”

   “the grandmother who, for some unknown reason, was dressed as a man, wearing a billycock and a corked moustache, ridiculous and plump in tight trousers and a red waistcoat [...].”

   “the increasing paralysis confined her to this steel trolley, pushed by a gloved attendant dressed in a billycock hat and a long grey dustcoat.”