Unless you came from another country yourself you shouldn’t use the hyphen. My ancestors came from Ireland during the potato famine of the late 1840’s so I can say I’m an American of Irish extraction but not Irish-American.
Unless you came from another country yourself you shouldn’t use the hyphen. My ancestors came from Ireland during the potato famine of the late 1840’s so I can say I’m an American of Irish extraction but not Irish-American.