The 11th Corps was not the lead Corps into Gettysburg, had they been first into Gettysburg they would have been fighting Archer and Davis's brigades from Heth's division.
MG. Reynolds was on the field before MG Howard was. Reynold's and Buford had their famous chat, if Howard was there at that time, i'm sure the three of them would have been recorded in history.
The first infantry to arrive at Gettysburg was BG. Wadsworth's division of the Iron Brigade and Cutler's brigade. Cutler's men could see the shell's from Heth's brigade engaged with the Union
Cav. Cutler had paused to rest his men for 10 mins to let the Iron Brigade catch up. Before any infantry had fought yet, Wadsworth was told my one of Reynold's couriers "Gen. Reynold's desires you to turn your leading brigade (Cutler) into the field, following along the ridge at the double quick toward the woods yonder."
Cutler's column with the 76th New York leading, 56th Pa, 147th Ny, 95th Ny and then the 14th Brooklyn followed by the 6 guns of Hall's 2nd Maine battery. (In order on the field) by 10:30am Cutler's brigade was already in position. The Iron brigade came up and formed on the left of Cutler's brigade. (14th Brooklyn was the left flank regiment and the 76th Ny was the right flank regiment).
The first infantry shots fired was from the 56th Pa at the 55th Nc. The 56th Pa commander, Col Hofmann, had fired to soon and 55th Nc was not in range. The 56th Pa's first volly only wounded two men of the 55th Nc's color guard.
Archer's brigade was at this time fighting against the Iron Brigade. Hence the 2nd Wisconsin captured BG.Archer and about 75 men.
Howard's Corps was still on the road at this point. Barlow's division was on the Emmitsburg Road, while the divisions led by Schurz and Von Steinwehr were marching a few miles to the east. They intended to hook onto the less congested Taneytown Road. Howard and his staff rode ahead of Barlow's division and saw the tail end of one of Wadsworth's brigades (Iron Brigade). Howard then asked Reynold's were he wanted the 11th Corps placed.
So as you can see, Howard's 11th Corps did not reach Gettysburg "First."
For a further study on this, go to "Gettysburg, A testing of Courage" by Noah Andre Trudeau. Page 181 clearly shows Howard's Corps came up later then Wadsworth's division.
Shawn