Cock \Cock\ (k[o^]k), v. t. [imp. & p. p. Cocked (k[o^]kt); p. pr. & vb. n. Cocking.]

[Cf. Gael. coc to cock.]

1. To set erect; to turn up.

Our Lightfoot barks, and cocks his ears. --Gay.

Dick would cock his nose in scorn. --Swift.

2. To shape, as a hat, by turning up the brim.

3. To set on one side in a pert or jaunty manner.

They cocked their hats in each other's faces. --Macaulay.

4. To turn (the eye) obliquely and partially close its lid, as an expression of derision or insinuation.

Cocked hat.
   (a) A hat with large, stiff flaps turned up to a peaked crown, thus making its form triangular; -- called also three-cornered hat

Source: Webster's Revised Unabridged Dictionary (1913)