Here is what I can come up with, though I am not really sure.
Music - Yes
English Text - Yes
Irish Text - Yes (de facto), but No (de jure)
Certainly everyone is treating the music and texts as de jure national anthems.
* * *
Dáil Éireann - Volume 609 - 08 November, 2005
http://historical-debates.oireachtas.ie/D/0609/D.0609.200511080178.html Written Answers. - National Anthem.
323. Mr. F. McGrath asked the Minister for Finance when the national anthem composed by Peadar Kearney in 1907 will be reclaimed and the correct words (details supplied) will be inserted at all public and State occasions. [32906/05]
Mr. Cowen: My Department holds the copyright in the national anthem. The principal reasons for holding the copyright are to ensure that it is freely available, to prescribe that performance fees are not to be charged or collected in respect of the use of the national anthem, and to ensure that it is not used in an inappropriate context and without due deference, such as to render it an object of scorn or derision. I am satisfied that the current version of the national anthem is the appropriate and correct interpretation of the words as composed by Peadar Kearney.
and
http://debates.oireachtas.ie/Xml/29/SEN20060307.PDF 7 March 2006
Labhrás Ó Murchú : It was recently announced in the media that the original copy of Amhrán na bhFiann, our national anthem, is for sale. It is feared that it might end up in a private collection outside the country. This document is an important part of our heritage and history. In the past, we have purchased such items to ensure they remain in this country, for example, the Joyce manuscripts. It is important that the State consider purchasing this document. However, perhaps we could recommend that a wealthy benefactor who has benefited from Ireland as a tax haven might consider purchasing it and presenting it to the nation.
and
Dáil Éireann - Volume 200 - 13 March, 1963
http://historical-debates.oireachtas.ie/D/0200/D.0200.196303130004.html Ceisteanna—Questions. Oral Answers. - National Anthem Copyright.
5. Mr. T. Lynch asked the Minister for Finance if the copyright of the [1117] words and music of the National Anthem, A Soldier's Song, is the property of the State.
Parliamentary Secretary to the Minister for Finance (Mr. O'Malley): The reply to the Deputy's question is in the affirmative.