The monument to the 37th Massachusetts Volunteer Infantry Regiment is south of Gettysburg on Sedgwick Avenue. (39.79812° N, 77.234539° W; Google map; Tour map: Sedgwick Avenue) It was dedicated in 1886 by the State of Massachusetts.
The 37th Massachusetts was commanded at the Battle of Gettysburg by Colonel Oliver Edwards. It brought 593 men to the field, losing two men killed, 26 wounded and 19 missing. The regiment arrived on the field around 2 p.m. on July 2 after marching from Manchester, Maryland. It was placed in reserve on the northeast slope of Little Round Top.
On July 3 the 37th Massachusetts was moved to the center of the Union line, where it was in reserve during Pickett’s Charge. Although it was not engaged, it suffered from artillery fire during the attack.
From around the base of the monument:
37th Mass. 2nd Brig 3rd Div. July 2nd, 1863.
See more on the 37th Massachusetts Volunteer Infantry Regiment in the Civil War