Uh, no. Neither Ireland nor the UK is in the Schengen. The UK didn't want to be, and Ireland opted out because of the UK. From the BBC[1]:
"The UK and Republic of Ireland have opted out. The UK wants to maintain its own borders, and Dublin prefers to preserve its free movement arrangement with the UK - called the Common Travel Area - rather than join Schengen."
"The UK and Republic of Ireland have opted out. The UK wants to maintain its own borders, and Dublin prefers to preserve its free movement arrangement with the UK - called the Common Travel Area - rather than join Schengen."
1. http://www.bbc.co.uk/news/world-europe-13194723