This is the first time I have heard about the Battle of Carthage. This battle took place on July 5, 1861, 16 days before the Battle of Bull Run. This site is the location for one of the last skirmishes of this battle. Both the union and the confederate armies camped here, the union the night before the battle, the confederates the night following the battle.
The battle took place over 10 miles. The Union army consisted of 1,100 men who faced a Confederate Missouri State Guard of 4000 armed and 2000 unarmed men. The Confederates won, but the Union troops managed to escape with only minimum losses.