During the US Civil War, the mutual combatants' armies were named the Union Army and the Confederate States Army.
Parliamentarians (Roundheads) and Royalists (Cavaliers).
Within the large parameters of the Confederate military, there were any number of names given to large armies in the US Civil War. For example, two large Southern armies were the Army of Northern Virginia and the Army of Tennessee.
Assuming that you mean the Civil War that took place in the United States - two alternate names are The War Between the States, and the The War of Northern Agression.
They argued over what to make the name.
Battle of Bunker Hill
The Union were the northern states and the Confederate States Army were the south.
The two victorious Generals were U.S. Grant and W.T. Sherman.
It went by the Federal Army, Northern Army, U.S. Army, and the National Army, but the first two are most correct.
union(north), confederates(south)
The Batlle of Fort Sumter
Yes.The two names reflect differing views about the nature of the conflict.
The two sides were referred to as the Red Army (Bolsheviks and their revolutionary supporters) and the White Army ( nonrevolutionaries who either wanted the Tsar restored to the throne or depose Lenin and the Bolsheviks. In addition to the Reds and Whites there were the Greens, who were anarchists.