In my research this Cornelius Lott is identified by his rank as there were a plethora (16 by my count) of Cornelius Lotts.
This can be seen by the inscription on the Lott cenotaph in Gettysburg, PA.
Captain Cornelius is buried in Millstone, New Jersey (previously known as Somerset Courthouse).
Captain Cornelius Lott worshipped as Dutch Reformed as did most of the Lotts and associated families.
Inscription on the Gettysburg Cenotaph:
In perpetuation of the memory of Cornelius Lott, 1738-1816, and his wife Henrietta Brokaw, 1739-1829, both of whom lie buried in Millstone Churchyard, Somerset County, New Jersey.
He served his country, 1779-1783, as 1st Lieutenant in Capt. Conrad Ten Eyck's Company, 2nd Batallion, Somerset County, New Jersey Troops, and later as Captain of Middlesex County New Jersey Men.
The American Revolution.
And Their Son Cornelius Lott, 1762-1831, and his wife Magdalena Brokaw, 1769-1848 And Their Son Jacob Lott, 1808-1892, and his wife Ann Stallsmith, 1806-1888.
All four of Whom Lie Buried Here.
Also to the memory of Cornelius Lott, son of Jacob and Ann Stallsmith Lott, Born November 15, 1835. Served as Private and Corporal in Company I, 102nd Infantry Regiment Illinois Volunteers, Killed in the Battle of Auerysboro, North Carolina March 16th, 1865 -- The Civil War
Res:- Millstone, N.J.
* Wife of Captain Cornelius, Henrietta Brokow (1739-1829), was believed to be a descendent of Bourgeon Brouchard, the Huegenot who came to America in 1645.
* They were married for 57 years.
* They attended The Church of Hillsborough which is Dutch Reformed and both their funeral services were performed at this church.
* See: Cornelius Lott in Find A Grave
* A.V. Phillips, The Lott Family