What did Confederates call their flag?

The Confederate States of America had 3 different versions of their National Flag. The common flag most familiar as a "Rebel flag" was actually the battle flag carried by each regiment to help identify the unit. Each regiment usually carried their regimental battle flag and the National flag. Names of the National Flags

First National Flag

Second National Flag

Third National Flag Other Battle Flags were designed based on the individual state from where the unit was from. Each design had a name, usually the name of their commanding general or the Army. Thus the Army of Tennessee had adopted a Blue flag with a White Disc in the center and wide white trim and it became known as the Army of Tennessee flag. The soldiers from Kentucky formed into a unit and adopted a flag that was identified as the flag of the Kentucky Brigade. Before the war really started, the first flag used by the early Confederate States was the "Bonnie Blue Flag" which consisted of a blue flag with a White Star.