Stephen, I only know of two other instances where a hollow square formation was used in the course of a battle.

The 2nd Illinois Cavalry dismounted and went into a modified hollow-square (three sides) at Coldwater, Mississippi, on June 19, 1863.

The 124th Ohio Infantry formed into a hollow square (as a night defensive position) at Chickamauga, Georgia, on September 20, 1863.

The hollow-square maneuver was developed as a defensive tactic by a smaller light infantry force against a larger mounted force, on relatively open, flat terrain. There really wasn't much call for it in the Civil War, although there are instances of it being used by Union forces who were fighting Indians on the plains while the war raged on back east.