The Bengal Calendar, for the year 1787 including a List of the Hon. and United East-India Company's Military Servants on the Bengal Establishment, page 281 The European Magazine, and London Review, Volume 11 for 1787 by the Philological Society of London:
The East India kalendar ... Containing complete and correct lists of the Company's civil, military, marine, law, and revenue establishments ....:
Lists of the officers of His Majesty's, and the Hon. Company's troops, serving under the presidency of Bombay. Adjutant General's Office. January 1st. 1798:
A List of the Officers of the Army, Ordnance and Medical Departments, serving under the Presidency of Fort St. George. 1st April 1822: https://books.google.com.au/books?id=uEMIAAAAQAAJ
Madras artillery records [1836-62], 1838:
Note: Gale has many more of the period, but you must have on-line access.