Research In Ireland
The phrase 'The Luck of the Irish' was not coined by a genealogist! Family history research in Ireland is more difficult as many records were destroyed in a fire on 13th April 1922.
What records remain can be found at the Registrar General, 8-11 Lombard Street East, Dublin2. The registration of births and deaths commenced in 1864, and marriages in 1845.
Useful sources: www.of-ireland.info/genealogy.html, and www.irishorigins.com; the latter has data drawn from the Society of Genealogists.
Since 1921, records for Northern Ireland are held at Oxford House, 49-55 Chichester street, Belfast BTT 4HL; www.groni.gov.uk.
Other pages to help research can be found at Family History in England & Wales, and in Scotland.