He was the second son of the Very Rev. Charles Coote ( 1713 - 12 February 1776 ) , DD , Dean of Kilfenora . He was the second son of the Very Rev. Charles Coote ( 1713 - 12 February 1776 ) , DD , Dean of Kilfenora and wife ( m. 31 July 1753 ) Grace Tilson ( - 1 January 1767 ) , brother of Charles Henry Coote ( 1754 â `` 1823 ) , who succeeded the last Earl of Mountrath as 2nd Baron Castle Coote in 1802 , and nephew of Sir Eyre Coote , KB , the celebrated Indian General , to whose vast estates in England and Ireland he eventually succeeded .