I searched on the subscription site Roots Ireland. The only record I can find is a Patt Flannery born October 20 1861 and baptized October 28 1861 in the Craughwell RC parish in Co. Galway. Father was Edmond Flannery and mother Margaret Kelly. Craughwell is a small village between Loughrea and Galway city. The parents were married August 28 1848 in Craughwell. I only see baptismal record for two siblings: Edmond 1858 and Honor 1866. Likely they were living in a different parish between 1848-1858 and that parish no longer has records back to that period.
Let me know if you think this is the correct family?