17 December - The Dublin and Kingstown Railway, the first public railway in Ireland, opens between Westland Row, Dublin, and Kingstown.
18 December - Tithe War: "Rathcormac massacre": At Gortroe, County Cork, armed Constabulary reinforced by the regular British Army kill at least nine and wound thirty protesters.
St. Vincent's Hospital is set up at St Stephen's Green, Dublin, by Mary Aikenhead, staffed by the Religious Sisters of Charity.
Downshire Bridge ("The Cut") underpass is built in Banbridge, County Down, by contractor William Dargan.
Croquet is recorded as being played in Ireland (at Greenmount near Castlebellingham, County Louth) at about this date.
March - Timothy Eaton, businessman in Canada, founder of Eaton's department store (died 1907).
15 July - John Horgan, politician and member of the Western Australian Legislative Council (died 1907).
1 August - William Murphy, evangelical Protestant preacher (died 1872).
4 September - Robert Montresor Rogers, recipient of the Victoria Cross for gallantry in 1860 at the Taku Forts, China (died 1895).
24 December - Charles W. Jones, lawyer and United States Senator in Florida (died 1897).
6 January - Richard Martin, "Humanity Dick", politician and animal rights activist (born 1754).
4 June - Samuel Greg, entrepreneur and pioneer of the factory system at Quarry Bank Mill (born 1758).
1834 in Ireland Wikipedia
Events from the year 1834 in Ireland.