Lieutenant-General Sir Eyre Coote KB (1726-1783) served alongside Robert Clive during the campaign against the Nawab of Bengal. He commanded the forces of Madras against the French in the Carnatic and later the forces of Bengal. After a period in UK, he returned to India and won major battles in the 2nd Mysore War. He was a Commander-in-Chief in India.
Historical books on-line
A life of Lieutenant-General Sir Eyre Coote KB by Colonel H. C. Wylly, CB 1922 (archive.org)
A Plain Statement of Facts, Relative to Sir Eyre Coote: Containing the official correspondence and documents connected with his case; and the proceedings of the Military Board appointed for its investigation 1816 (archive.org)
Memoir of the late Lieut.-Colonel Richard Scott (From his Private Journals) from The Naval and Military Magazine Volumes 1, 2 and 3 1827-1828 Part 2- Sir Eyre Coote's Campaigns of 1781, 1782, and 1783 (Google Books)