the world > textiles and clothing > clothing > types or styles of clothing > headgear > [adjective] > hat > having a brim > with upturned brim (3)
Of a hat: having the brim turned upwards. Cf. cock, v.1 5a(a). Now chiefly in cocked hat, n. 1a.
Of a hat: having the brim turned upwards, esp. in order to follow a particular fashion or style. Cf. cocked, adj.3 1. Now chiefly historical.
Of a hat: Not cocked or turned up.