Before 1990, the job of President of the Republic of Ireland was seen as a more or less meaningless, figurehead role, normally doled out to some inoffensive former politician as a reward for long service. This was reflected in the anagram:
President of Ireland = That refined, idle person
In 1990, Ireland got the chance to show that it had entered the twentieth century by electing a female head of state, Mary Robinson . Mrs Robinson's presidency was reasonably action-packed, and she attracted a fair amount of attention to the country. Hence the coining of this immortal anagram:
President Mary Robinson = Nation's P.R. remedy is born
In 1997, President Robinson resigned to become United Nations High Commissioner for Human Rights, and the post was won by another former lawyer, Mary McAleese. While not as popular as the outgoing President, McAleese was easily a match for the candidates running against her, as you might deduce from the following:
President Mary McAleese = Masterly media presence
And I'm afraid that's all the anagrams relating to the Irish Presidency that I have to hand.