Career
Molloy, chairman of Carlow Urban Council, was nominated as candidate for the Irish Parliamentary Party in the constituency of Carlow County at the general election of January 1910, replacing Walter MacMurrough Kavanagh, who was standing down. He was elected unopposed, and again in the December general election of the same year. He did not run in the 1918 general election, and his seat was taken, unopposed, by James Lennon of Sinn Féin.