Question: Which village in Haverhill, New Hampshire had a population of 1,126 at the 2010 census?

Context paragraphs:
Thomasboro, Illinois: Thomasboro is a village in Champaign County, Illinois, United States.  The population was 1,126 at the 2010 census.

Newfields, New Hampshire: Newfields is a town in Rockingham County, New Hampshire, United States.  The population was 1,680 at the 2010 census.  The primary village in town, where 301 people resided at the 2010 census, is defined as the Newfields census-designated place (CDP), and is located along New Hampshire Route 85 and the Squamscott River.  It is a quaint village of handsome old houses.

Claremont–Lebanon micropolitan area: The Claremont–Lebanon Micropolitan Statistical Area, as defined by the United States Census Bureau, is an area consisting of four counties – two in New Hampshire and two in Vermont, anchored by the cities of Lebanon, New Hampshire and Claremont, New Hampshire.  At the 2010 census, the area was defined as two separate Micropolitan Statistical Areas (μSAs), Claremont and Lebanon.  The Claremont μSA, consisting of Sullivan County, New Hampshire, had a population of 43,742, while the Lebanon μSA, comprising Grafton County, New Hampshire, and Orange and Windsor counties in Vermont, had a population of 174,724.  In 2013, the two areas were combined to form the Claremont-Lebanon μSA, and in 2015 the estimated population was 216,923.  The Claremont–Lebanon μSA is the most populous micropolitan area in the United States.

Antrim, New Hampshire: Antrim is a town in Hillsborough County, New Hampshire, United States.  The population was 2,637 at the 2010 census.  The primary settlement in the town, where 1,397 people resided at the 2010 census, is defined as the Antrim census-designated place (CDP) and is located at the intersection of U.S. Route 202 and New Hampshire Route 31.  The town of Antrim also includes the villages of Antrim Center, North Branch, Clinton Village and South Village.

Goffstown, New Hampshire: Goffstown is a town in Hillsborough County, New Hampshire, United States.  The population was 17,651 at the 2010 census.  The compact center of town, where 3,196 people resided at the 2010 census, is defined by the U.S. Census Bureau as the Goffstown census-designated place and is located at the junction of New Hampshire routes 114 and 13.  Goffstown also includes the villages of Grasmere and Pinardville.  The town is home to Saint Anselm College (and its New Hampshire Institute of Politics) and the New Hampshire State Prison for Women.

Woodsville, New Hampshire: Woodsville is a census-designated place (CDP) in the town of Haverhill in Grafton County, New Hampshire, U.S., along the Connecticut River at the mouth of the Ammonoosuc River.  The population was 1,126 at the 2010 census.  Although North Haverhill is now the county seat of Grafton County, the village of Woodsville has traditionally been considered the county seat, as the county courthouse was originally located there.  The county buildings are now located halfway between Woodsville and the village of North Haverhill to the south.

Haverhill, New Hampshire: Haverhill is a town in Grafton County, New Hampshire, United States.  The population was 4,697 at the 2010 census.  Haverhill includes the villages of Woodsville, Pike, and North Haverhill, the historic town center at Haverhill Corner, and the district of Mountain Lakes.  Located here are Bedell Bridge State Park, Black Mountain State Forest, Kinder Memorial Forest, and Oliverian Valley Wildlife Preserve.  It is home to the annual North Haverhill Fair, and to a branch of the New Hampshire Community Technical Colleges.  The village of North Haverhill is the county seat of Grafton County.

Grafton County, New Hampshire: Grafton County is a county located in the state of New Hampshire, in the United States.  As of the 2010 census, the population was 89,118.  Its county seat is North Haverhill, which is a village within the town of Haverhill.  Until 1972, the county courthouse and other offices were located in downtown Woodsville, a larger village within the town of Haverhill.

Saylorsburg, Pennsylvania: Saylorsburg is a census-designated place and unincorporated community in Monroe County, Pennsylvania, United States.  Saylorsburg is located off Pennsylvania Route 33, 5 mi northwest of Wind Gap.  As of the 2010 census, its population was 1,126.  The village is located in both Ross Township and Hamilton Township.

Milton, New Hampshire: Milton is a town in Strafford County, New Hampshire, United States.  The population was 4,598 at the 2010 census.  A manufacturing, resort and residential town, Milton includes the village of Milton Mills.  The primary village in town, where 575 people resided at the 2010 census, is defined as the Milton census-designated place (CDP), and is located along New Hampshire Route 125 and the Salmon Falls River, just north of Route 75.

Supporting paragraphs: Haverhill, New Hampshire Woodsville, New Hampshire
Answer: Woodsville