If referring to a woman, Bean bhreá Éireannach.
Deirfiúr Ghaelach / Deirfiúr Éireannach
Ádh na nGael.Ádh na nÉireannach.
Potatoes originate in North America, they were not grown as a crop in Europe until they were brought back by English and Spanish sailors in the late 16th Century.