FindMyPast is one of the best online resources for British and Irish records. You need a subscription to access its collections but they do make a few records available for free.
One free collection is Ireland Roman Catholic Parish Baptisms. Create a free account with FindMyPast and you can search and view these Baptismal records without a subscription.
These records will tell you birth and baptism dates, parents' names, and information on the Parish and Diocese. Note that the records are written in Latin but FindMyPast gives you a handy guide Latin phrases.
This collection is made available from the National Library of Ireland. Most of the records date from the 1850s onward but you may find a few older records as well.
For more free(ish) online Irish genealogy, try IrishGenealogy.ie, RootsIreland, and the National Archives of Ireland.