"Red hair was another peculiarity of the Virginians. One who saw the Virginia troops pass through Petersburg on their way to join the army of Greene, told my informant that two-thirds of the officers had red hair. Jefferson, Campbell, the hero of King's Mountain, Arthur Campbell, John Taylor of Caroline, many of the valiant race of Green, had red hair."http://www.themythsandhistoryofredhair.co.uk/redhairinamerica.html
Anyway, we now have some confirmation that another one of those mentioned in this passage was indeed a redhead. Arthur Campbell is described as thus in the following work;
Physically he seems to have been most attractive. He had red hair, stood nearly six feet tall, and walked erect.https://www.jstor.org/stable/4248589?seq=1#page_scan_tab_contents
Campbell was a soldier as well as a member of the Virginia House of Delegates. Campbell County, Tennessee was named after him.
We also have a reference to red-haired Irish soldiers that fought in the US-Mexican War which may be worth sharing here. From the following webpage (http://www.irlandeses.org/1003racine.htm) it states;
Mexicans fondly recall the famous Saint Patrick’s Battalion (known as the Batallón San Patricio), which fought in five major battles during the United States-Mexican War (1846-1848), and whose experiences have gone on to inspire romantic novels, films, songs, poems and, more recently, serious historical scholarship. The unit began as a small group called the San Patricio Company, jokingly called the ‘Red Guards’ or colorados, a reference to their red hair.