Annesley was educated at Trinity College Dublin."Alumni Dublinenses : a register of the students, graduates, professors and provosts of Trinity College in the University of Dublin (1593–1860 George Dames Burtchaell/Thomas Ulick Sadleir p15: Dublin, Alex Thom and Co, 1935 He was Dean of Down from 1787 until his death in 1817."The Succession of the Prelates and Members of the Cathedral Bodies of Ireland. Fasti ecclesiae Hiberniae. Vol. 2, The Province of Ulster" Cotton, H p228 Dublin; Hodges and Smith; 1849
