It is a play on the word Cunt. Like queer hawk it is not known why the 'hawk' is added at the end. Probally for extra venom or to improve the vulgarity of cunt on its own if thats even possible. Rarly used in the plural sense or directly at somone. Used mostly around West Waterford, Ireland.
"state of this dirty cunthawk"
by scumage February 05, 2010