From Index to Revolutionary War Service Records:

Charles Faulkner, Private, 3rd Regiment South Carolina

Edward Falknar, Private, 3rd Regiment South Carolina
alternate spellings Falkner, Faulkner

Francis Faulknor, Private 1st North Carolina Regiment
alternate spellings Fordener, Fortner

Jacob Falkner, Scout in South Carolina Militia, enlisted 1781, re-enlisted 1782

John Falkner, Marshell's Regiment of South Carolina Troops

John Falkner, 3rd Regiment South Carolina, enlisted 4 Jun 1777, re-enlisted 1 Feb 1780.

Nathaniel Faulkner, Acton, Massachusetts

Peter Fortner, Fifer, German Battalion of Continental Troops

William Falkner, Marshell's Regiment of South Carolina Troops

Revolutionary War Bounty Land Grants awarded by state governments:

Francis Falkner, North Carolina, Private, 22 Dec 1796, 640 acres

Peter Faulkner, Virginia, Sergeant, 21 May 1823, 400 acres

Ralph Faulkner, Virginia, Lt. Col., 30 Dec 1840, 1555 7/9 acres

Ralph Faulkner, Virginia, Lt. Col., 30 Dec 1840, 777 2/9 acres

Ralph Falkner, Virginia, Major, 23 Jan 1808, 2666 2/3 acres

From Fold3 records search:

George Faulkner, born Pitt County, NC, service 1779-1781, Lt. 1779-1781. Capt under Col John Simpson, 1779. 1779, attached to Col John Pugh Williams (Bertie County Regiment). 1780 at Seige of Charleston, SC. attached to Col John Sheppard (Wayne County Regiment). 1781, under Col James Gorham. also known as George Fortner, George Falconer, and George Folkner. Battles: Briar Creek, GA and Seige of Charleston, SC.

John Faulkner, Northern Orange County Regiment, 1776-1781. 1776, Capt. under Lt. Col. William Moore. attached to Col. Ambrose Ramsey for the Cherokee Expedition, but was forced to turn back due to lack of wagons and pack horses. 1777, in Caswell County. 1777-1781, Capt. under Col. William Moore. Battles: Shallow Ford, Rugeley's Militia #2, South Carolina.