The name has no Irish language version; it's still spelled Irene.
irish
Irene Ryan's mother's maiden name was O'Reilly. Irene Ryan was an American actress best known for her role as Granny on "The Beverly Hillbillies." Her family's Irish heritage is reflected in her mother's surname.
Even with the last name in a 'Gaelic' form Irene was spelled as in English.
Irene Pollin's birth name is Irene Lee Kercheck.
Irene Lucchitti has written: 'The islandman' -- subject(s): Authors, Irish, Biography, Criticism and interpretation, Historiography, Irish authors, Social life and customs
Irene Saltern's birth name is Irene Stern.
Irene Vanbrugh's birth name is Barnes, Irene.
Irene Spencer's birth name is Irene Kunz.
Irene Ambrus's birth name is Klopfer, Irene.
Irene Anders's birth name is Irene Swartz.
Irene Dare's birth name is Irene Davidson.