Archbishop Francis Burke, or de Burgo, or de Burgh (died 1723) was an Irish Roman Catholic clergyman who served as Archbishop of Tuam from 1713 to 1723. He was appointed Coadjutor Archbishop of Tuam on 22nd. August 1713. He had been recommended by John Burke, 9th. Earl of Clanricarde, a kinsman. Two months later, he succeeded as Archbishop of Tuam on 31st. October 1713, and consecrated on 4th. April 1714. He died in office in August or September 1723.