The Church of Ireland was united with the Church of England by the Act of Union 1800, but was disestablished in 1896.
Bishops are styled as for Diocesan Bishops in the Church of England, except for the Bishop of Meath (Premier Bishop of the Church of Ireland) who is styled "The Most Rev" instead of "The Rt Rev".
Archbishops sign, after a cross, their Christian name, followed by their Province.
Bishops sign, after a cross, their Christian name, followed by the first diocese in their title.
Retired Irish Bishops
A retired Irish bishop would be addressed on an envelope as The Rt Rev John Smith, and a letter would begin 'Dear Bishop'.