The monument to the 11th New York Independent Battery is south of Gettysburg on Hancock Avenue. (39.813743° N, 77.235252° W; Google map; Tour map: Hancock Avenue at The Angle) It was erected in 1893 by the State of New York.
The battery was temporarily atteched to Battery K of the New York Light Artillery and was commanded at the Battle of Gettysburg by its Captain Robert H. Fitzhugh. The batteries were assigned to the 4th Volunteer Brigade, Artillery Reserve.
From the monument:
11th Independent (Havelock) Battery,
New York Light Artillery,
4th Volunteer Brigade, Artillery Reserve,
July 3rd 1863.
Attached to Battery K, 1st New York Light Artillery.
Casualties, Wounded 5.
Organized at Albany, New York, October 26th, 1861.
Mustered into United States service January 6th 1862.
Participated in all battles of the Army of the Potomac from Second Bull Run to Appomattox except Antietam.
Mustered out June 13th 1865.