79th Carnatic Infantry

Known as 19th Regiment of Madras Native Infantry in the Madras Army
Known as 79th Carnatic Infantry in the Indian Army

Chronology

1777 raised in Tiruchirapalli as 20th Carnatic Battalion from 1st, 3rd, 8th and 16th Carnatic Battalions
1784 became 20th Madras Battalion
1796 became 2nd Battalion, 7th Regiment of Madras Native Infantry
1824 became 19th Regiment of Madras Native Infantry
1885 became 19th Madras Infantry
1903 became 79th Carnatic Infantry
1922 became 3rd/3rd Madras Regiment
1922 disbanded and re-raised as a Territorial Battalion
1941, September converted to a Regular Battalion
1947 allocated to India on Partition

Madras Regiment Wikipedia
3rd Madras Regiment Wikipedia
79th Carnatic Infantry British Empire website
3rd Battalion The Madras Regiment madrasregiment.org
Page 53 Valour and Sacrifice: Famous Regiments of the Indian Army by Gautam Sharma Google Books

Madras Infantry 1748-1943 by Lt.-Col. E G Phythian-Adams, late 3rd Madras Regiment published 1943 is available to read online on the Digital Library of India website. Two files are available, barcode 4990010018885 seems a more complete copy.
The Madras Soldier 1746-1946 by Lt.-Col. E G Phythian-Adams. Revised and enlarged edition 1947 Archive.org.