Carmody received his primary education at a local national school in Ireland, then attended St. Brendan's Seminary in Killarney, Ireland for his high school education. After finishing at St. Brendan's, he entered the Major Seminary of St. Patrick in Carlow, Ireland, for his priestly formation .
Carmody received his primary schooling at a local Irish national school and later attended St. Brendan's Seminary in Killarney for high school. Following this, he entered the Major Seminary of St. Patrick in Carlow for priestly education.