Billycock hat, Billycock n. A round, low-crowned felt hat; a wideawake. "The undignified billycocks and pantaloons of the West.""Little acquiesced, and Ransome disguised him in a beard, and a loose set of clothes, and a billicock hat."
... I be doin' wid a license whin I'm only a woman?' The captive plucked the billycock from her head, and a mass of black hair ... — In the Roaring Fifties • Edward Dyson
... first was a tobacconist's assistant at Exeter, who came forward and said a little, countrified man had bought two wooden pipes from him and a two-ounce packet of shag tobacco; and he said the little man wore a billycock hat with a jay's blue wing feather in it. And a barmaid at Newton Abbot testified that she'd served just such a man at the station after the train from Exeter had come in, about five-thirty, and afore it went out. She minded the jay's feather in ... — The Torch and Other Tales • Eden Phillpotts