Question: In what county is a village named after a pair of mountains located in Franconia, New Hampshire?

Context paragraphs:
Mount Flume: Mount Flume is a peak in the White Mountains of New Hampshire, in the United States.  The mountain overlooks Franconia Notch.  It is 4328 ft tall and is accessible from the north by the Franconia Ridge Trail, from the southeast by the Osseo Trail, and from the west by the Flume Slide Trail to the Franconia Ridge Trail.

Carroll, New Hampshire: Carroll is a town in Coos County, New Hampshire, United States.  The population was 763 at the 2010 census.  The two largest villages are Twin Mountain and Bretton Woods.  Carroll is an important access point for recreational areas in the White Mountains, including many 4,000-footers, the Zealand River area, the Presidential Range, and the Presidential Dry River Wilderness.  The town is crossed by the Appalachian Trail and is home to the Mount Washington Hotel at Bretton Woods.  It is also home to the Highland Center at Crawford Notch, the Appalachian Mountain Club's four-season lodge.

Franconia Notch State Park: Franconia Notch State Park is located in the White Mountains in northern New Hampshire, United States, and straddles 8 mi of Interstate 93 as it passes through Franconia Notch, a mountain pass between the Kinsman Range and Franconia Range.  Attractions in the state park include the Flume Gorge and visitor center, the Old Man of the Mountain historical site, fishing in Echo Lake and Profile Lake, and miles of hiking, biking and ski trails.  The northern part of the park, including Cannon Mountain and Echo and Profile lakes, is in the town of Franconia, and the southern part, including Lonesome Lake and the Flume, is in Lincoln.

Twin Mountains: The Twin Mountains are a pair of mountains located in Franconia, New Hampshire.  The Twin Mountains are composed of North Twin Mountain and South Twin Mountain, which are linked by the North Twin Trail.  The village of Twin Mountain in the town of Carroll is named after these mountains.

Franconia Notch: Franconia Notch (elev.  1950 ft ) is a major mountain pass through the White Mountains of New Hampshire.  Dominated by Cannon Mountain to the west and Mount Lafayette to the east, it lies principally within Franconia Notch State Park and is traversed by the Franconia Notch Parkway (Interstate 93 and U.S. Route 3).  The parkway required a special act of Congress to sidestep design standards for the Interstate highway system because it is only one lane in each direction.

Franconia Airport: Franconia Airport (FAA LID: 1B5) is a public airport located in Franconia, New Hampshire, two miles (3 km) south of the central business district of Franconia, in Grafton County, New Hampshire, USA.  The airport is the home of the Franconia Soaring Association.  There are no commercial flights available.

Franconia, New Hampshire: Franconia is a town in Grafton County, New Hampshire, United States.  The population was 1,104 at the 2010 census.  Set in the White Mountains, Franconia is home to the northern half of Franconia Notch State Park.  Parts of the White Mountain National Forest are in the eastern and southern portions of the town.  The Appalachian Trail crosses the southern part.

Mount Lincoln (New Hampshire): Mount Lincoln is a 5,089-foot-high mountain within the Franconia Range of the White Mountains of New Hampshire.  Lincoln is located between Little Haystack and Mount Lafayette.  All three overlook Franconia Notch.  The west side of Lincoln drains into the main stem of the Pemigewasset River.  The east side drains into Lincoln Brook, thence into the Franconia Branch of the Pemigewasset.

Samuel Bell: Samuel Bell (February 9, 1770December 23, 1850) was an American politician and lawyer who served as the 14th Governor of New Hampshire from 1819 to 1823, and as the United States Senator for New Hampshire from 1823 to 1835.  Born in Londonderry in the Province of New Hampshire, Bell became a lawyer in the 1790s, and entered politics by becoming a member of the New Hampshire House of Representatives in 1804.  In 1806, the year he left the House, he became the head of a bank which during his tenure in that position became the only New Hampshire bank to fail between 1792 and 1840.  A member of the New Hampshire Senate from 1807 to 1809, and an associate justice of the New Hampshire Supreme Court from 1816 to 1819, Bell was elected to become the Governor of New Hampshire in 1819 as Democratic-Republican.  Re-elected in 1820, 1821, and 1822 against token opposition, Bell's victory in 1822 was accompanied by the largest share of votes cast for a governor candidate of New Hampshire since John Taylor Gilman's victory in 1795.  Whilst Governor, New Hampshire's crime level fell, and industry within the state prospered.  In 1823, declining to stand again for the governorship, he became a Senator for New Hampshire.  He won re-election in 1829, was the chairman of the United States Senate Committee on Claims, and left the Senate in 1835.  He retired from public life thereafter, and died in Chester, New Hampshire at the age of 80.  He is buried in Chester Village Cemetery, Rockingham, New Hampshire.

Little Haystack Mountain (New Hampshire): Little Haystack Mountain is a peak on the Franconia Range of the White Mountains located in Grafton County, New Hampshire.  It is flanked to the north by Mount Lincoln and to the southwest by Mount Liberty.

Supporting paragraphs: Twin Mountains Carroll, New Hampshire
Answer: Coos County