Also known as Old Burying Ground, and Burgin Family Cemetery. (A sign in the cemetery says "Burgin Family Cemetery".)
The cemetery is across from the Old Allenstown Meeting House. Text from a New Hampshire Historical Marker on site: ''The Old Burying Ground is enclosed within the stone walls across the road. Judge Hall Burgin donated land for a meeting house and burying ground about 1807, and both parcels have always been conveyed together.
''There are five known graves in the cemetery: Ede Hall Burgin; his wife, Elizabeth Burgin; two daughters of Jonathan Sargent; and John Critchett. In the early 1900s, two gravestones remained visible. Buntin Chapter, Daughters of the American Revolution, passed the property to the state in 1991, and the state deeded it back to the town in 2004.''