Alexander H. Mitchell (November 13, 1840–March 7, 1913) was a United States military officer who fought with the Union Army during the American Civil War as captain of Company A of the 105th Pennsylvania Infantry.

He was raised in Allegheny County and educated in the public schools of his community with his siblings: Nancy (1831–1884), Andrew (1833–1863), Sarah Ann (1834–1894), Thomas Sharp Jr. (1838–1898), Rebecca A.

Initially stationed at Camp Slifer, near Chambersburg, Mitchell and his regiment were attached to the 3rd Brigade, 1st Division before being moved, on June 7, to Greencastle and then south to the Washington, D.C., area, where they were assigned to guard duties along the Potomac River near Williamsport.

Stationed near Martinsburg in July, the 8th Pennsylvania periodically engaged Confederate troops in small skirmishes, and then participated in the Union Army’s advance on Bunker Hill and in operations near Charlestown later that month.

[11] Alex Mitchell's younger brother, James, also mustered in with him that same day, joining the same company of the 105th Pennsylvania as a drummer boy.

[12] Ordered again to defensive duties near Washington, D.C., in early October, Mitchell and his fellow 105th Pennsylvanians were transported south by railroad, and pitched their tents at Camp Kalorama on the Kalorama Heights outside of Georgetown, District of Columbia before relocating again — this time to Alexandria, Virginia, where they were assigned to the brigade led by Brigadier-General Charles Davis Jameson in the U.S. Army division commanded by Brigadier-General Samuel P. Heintzelman.

Reassigned to duties at Fortress Monroe on March 17, 1862, he and his regiment then engaged in their first significant combat during the Siege of Yorktown (April 5–May 4) and the Peninsula Campaign (March–July 1862), including the battles of Williamsburg (May 5) and Fair Oaks/Seven Pines (May 31), during which Mitchell was wounded in action.

[13][14] Reporting later on the battle, Jameson described how the day’s events unfolded:[15] All our men had fled from the abattis [sic] in the vicinity of the Richmond Road.

This is a state of perfection in discipline that is gained by but few regiments.After recuperating from his wounds, Mitchell again returned to his regiment, which continued operations against Confederate troops in Virginia from the late summer through early winter.

Moved to winter quarters at Brandy Station later that month, the majority of 105th Pennsylvanians were then awarded veterans’ furloughs after re-enlisting.

Departing winter quarters on May 4, 1864, Mitchell and his regiment were assigned to the Overland Campaign of Lieutenant-General Ulysses S. Grant, which immediately brought them under fire in the Battle of the Wilderness (May 5–7).

[30][31][32] After the turn of the century Mitchell continued to live in Harrisburg with his wife, their son Ross, who was employed as an artist, and daughter Clara.