Question: The Lafayette Artillery Company is headquartered at which town in Hillsborough County in the United States?

full_context: Document 1: Hartshorn Memorial Cannon: The Hartshorn Memorial Cannon is a decommissioned American Civil War naval cannon that forms the centerpiece of the South Lyndeborough Village Common in Lyndeborough, New Hampshire. The cannon is named for John Alonzo Hartshorn, the town's second Civil War casualty and a former member of the town's Lafayette Artillery Company.
Document 2: Hillsborough (CDP), New Hampshire: Hillsborough (frequently spelled Hillsboro) is a census-designated place (CDP) and the main village in the town of Hillsborough in Hillsborough County, New Hampshire, United States. The population of the CDP was 1,976 at the 2010 census, out of 6,011 people in the entire town of Hillsborough.
Document 3: Company C 1-181 Infantry: Company C, 1st Battalion, 181st Infantry Regiment is a rifle company in the 181st Infantry Regiment. In the National Guard, companies often have two histories. They share the history of the regiment to which they are assigned, but also may have a unique company history and lineage. Therefore, Company C 1-181 IN shares the long history of the 181st Infantry Regiment (United States). This site concentrates on the unique history of Company C as a militia / National Guard company in Cambridge, MA. The company traces its history to 1831, when it was first mustered as the Cambridge Light Infantry. It later served with Union forces in the American Civil War, and as a federalized Massachusetts National Guard regiment with the U.S. Army during the Spanish–American War, Mexican Border Campaign, World War I and World War II. Most recently Company C has served in Bosnia, at Guantanamo Bay, Cuba, New Orleans following Hurricane Katrina, Iraq and Afghanistan.
Document 4: Hillsborough County, New Hampshire: Hillsborough County is the most populous county in the U.S. state of New Hampshire. As of the 2010 census, the population was 400,721. The population was estimated at 407,761 in 2016. Its county seats are Manchester and Nashua. Hillsborough is northern New England's most populous county as well as its most densely populated.
Document 5: Headquarters Company 1-181 Infantry: Headquarters Company 1-181 Infantry, Worcester, MA, is the command element for the 1st Battalion 181st Infantry Regiment of the Massachusetts Army National Guard. In the National Guard, companies sometimes have two histories. They share the history of the regiment to which they are assaigned, but also may have a unique company history and lineage. Therefore, HHC 1-181 IN shares the long history of the 181st Infantry Regiment (United States). While the 181st Infantry Regiment shares the distinction of being the oldest combat regiment in the United States Army, Headquarters Company was formed more recently during the Volunteer Militia craze of the 1890s. During this time young men began to flock to the independent militia companies forming in each town and city. These companies were both military units and social clubs. This site concentrates on the unique history of HHC as a militia / National Guard company in Worcester., MA. Headquarters Company (Wellington Rifles) has gone on to serve in the following conflicts: Spanish–American War, Mexican Border Campaign, World War I and World War II. Most recently the company served in Iraq, in New Orleans following Hurricane Katrina, and in Afghanistan.
Document 6: Deering, New Hampshire: Deering is a town in Hillsborough County, New Hampshire, United States. The population was 1,912 at the 2010 census.
Document 7: Londonderry, New Hampshire: Londonderry is a town in western Rockingham County, New Hampshire, United States. The town is bordered on the north by the city of Manchester and on the east by the town of Derry. The population was 24,129 at the 2010 census. Londonderry is known for its apple orchards and is home to the headquarters of Stonyfield Farm and partial home to Manchester-Boston Regional Airport.
Document 8: Company A 1-181 Infantry: Company A 1st Battalion 181st Infantry Regiment is the oldest active company in the 181st Infantry Regiment. In the National Guard, companies can share the history of the regiment to which they are assigned, but also may have additional unique company history and lineage. Company A traces its history to 1639, but also shares the history of the 104th Infantry Regiment and the 181st Infantry Regiment (United States).
Document 9: Lyndeborough, New Hampshire: Lyndeborough is a town in Hillsborough County, New Hampshire, United States. The population was 1,683 at the 2010 census.
Document 10: Company D 1-181 Infantry: Company D 1st Battalion 181st Infantry Regiment is a heavy weapons company in the 181st Infantry Regiment. It provides anti-armor and heavy machine gun support to the battalion operations. In the National Guard, companies sometimes have two histories. They share the history of the regiment to which they are assigned, but also may have a unique company history and lineage. Therefore, Company D 1-181 IN shares the long history of the 181st Infantry Regiment (United States). This site concentrates on the unique history of Company D as a militia / National Guard company in Whitinsville, MA. The company traces its history to 1864 during the Civil War, when it was first mustered as the Company I, 5th Massachusetts Militia. It later served as a federalized Massachusetts National Guard regiment with the U.S. Army during the Spanish–American War, Mexican Border Campaign, World War I and World War II. Most recently the Company D has served in New Orleans following Hurricane Katrina, in Iraq and in Afghanistan.
Document 11: Lincoln, New Hampshire: Lincoln is a town in Grafton County, New Hampshire, United States. It is the second-largest town by area in New Hampshire. The population was 1,662 at the 2010 census. The town is home to the New Hampshire Highland Games and to a portion of Franconia Notch State Park. Set in the White Mountains, large portions of the town are within the White Mountain National Forest. The Appalachian Trail crosses in the northeast. Lincoln is the location of the Loon Mountain ski resort and associated recreation-centered development.
Document 12: Leavitt Farm: Leavitt Farm is a historic farmstead at 103 Old Loudon Road in eastern Concord, New Hampshire. It consists of three 19th century farm buildings, including the c. 1847 Greek Revival farmhouse, a large c. 1888 two story wood frame shop, and a wood frame barn, as well as a 19th-century privy which has been converted into a well pumphouse. These buildings were built by Jonathan Leavitt, a farmer and blacksmith, and were later owned by his son Almah, a sign painter. The property was in the 1980s used by the Concord Coach Society (now the Abbot-Downing Historical Society) as a headquarters and museum facility. The shop building in particular is notable for its adaptive reuse (as blacksmithy, paint shop, and museum), and for its second floor ballroom space, an unusual location for that type of social space.
Document 13: Company B 1-181 Infantry: Company B 1st Battalion 181st Infantry Regiment is a rifle company in the 1st Battalion 181st Infantry Regiment. In the National Guard, companies sometimes have two histories. They share the history of the regiment to which they are assigned, but also may have a unique company history and lineage. Therefore, Company B 1-181 IN shares the long history of the 181st Infantry Regiment (United States). This site concentrates on the unique history of Company B as a militia / National Guard company in Gardner and Greenfield (Detachment 1), MA. Company B served in the Continental Army during the American Revolution, with Union forces in the American Civil War, and as a federalized Massachusetts National Guard regiment with the U.S. Army during the Spanish–American War, Mexican Border Campaign, World War I and World War II. Most recently the Company B has served in Guantanamo Bay Cuba, in New Orleans following Hurricane Katrina, and in Afghanistan. (See below for the separate history of Detachment I in Greenfield.
Document 14: Lafayette Artillery Company: The Lafayette Artillery Company was founded in Peterborough, New Hampshire, in 1804 as the Artillery Company of the 22nd Regiment. It was part of the State of New Hampshire's artillery system, a forerunner to the National Guard. The group has continued to operate continuously since its founding, and since 1833 it has been headquartered at Lyndeborough, New Hampshire. Since the 1980s, it has been primarily an educational service organization, and participates in Civil War reenactments throughout the northeastern United States.
Document 15: Nashua, New Hampshire: Nashua is a city in Hillsborough County, New Hampshire, United States. As of the 2010 census, Nashua had a total population of 86,494, making it the second-largest city in the state (and in the three northern New England states) after Manchester. As of 2016 the population had risen to an estimated 87,882.
ground_truth: Lyndeborough, New Hampshire