The monument to the 134th New York is southeast of Gettysburg is on East Cemetery Hill. (39.822103° N, 77.229421° W; map)
A marker in town on Coster Avenue (39.83523° N, 77.227128° W; map) shows the location of the regiment's fight on July 1st.
The 134th New York was commanded at the Battle of Gettysburg by Lieutenant Colonel Allan H. Jackson while Colonel Charles Coster was in command of the brigade. It brought 488 men to the field, losing 42 killed, 151 wounded and 59 missing.
When the 11th Corps reached Gettysburg on July 1, the regiment along with its 2nd Division was held in reserve on Cemetery Hill while the rest of the corps formed for battle north of town. When that battle line began to collapse in the afternoon the regiment and its brigade were marched through town and formed on the north side of Gettysburg to cover the retreat.
It turned into disaster. The 134th New York held the right flank of the brigade, and lost over half its strength in a few minutes when assaulted and overwhelmed by Confederates of Hoke's and Hays' Brigades.
The survivors retreated through town and reformed on Cemetery Hill, which they defended during the attack on the evening of July 2nd and during the artillery barrage which preceded Pickett's Charge.
Lieutenants Henry Palmer and Lucius Mead and 57 enlisted men were killed or mortally wounded, Captains Otis Guffin and William Mickle and 130 enlisted men were wounded, and Lieutenant John Kennedy and 57 enlisted men were captured. Lt. Colonel Jackson was captured during the retreat through town, but escaped and rejoined the regiment.
From the front of the monument:
From the rear:
July 1, 1863
From the marker on Coster Avenue:
134th Regiment New York Infantry
July 1st 1863
The 134th Regiment occupying the extreme right of the Union line was crushed by the impact and and the flank and rear firing of that desperate charge.
The regimental monument on East Cemetery Hill is on the ground occupied July 2d and 3d. This tablet marks the position where its casualties were greatest of any battle in which it was ever engaged.
Loss at Gettysburg July 1st. 252
(above) Monument to the 134th New York
on East Cemetery Hill at Gettysburg
(below) Marker for the regiment's position on Coster Avenue