Narsh's Library, situated in St. Patrick's Close, adjacent to St. Patrick's Cathedral, Dublin, Republic of Ireland is a well-preserved library of the late Renaissance and early Enlightenment. When it opened to the public in 1707 it was the first public library in Ireland. It was built to the order of Archbishop Narcissus Marsh and has a collection of over 25,000 books and 300 manuscripts.

More information on the Wikipedia page [1].

The website is [2]