Question: Which place was founded in 1680, and has Napeague State Park between it and another place?

Context paragraphs:
Quantum energy teleportation: Quantum energy teleportation, a hypothesis first put forward by Japanese physicist Masahiro Hotta of Tohoku University, proposes that it may be possible to teleport energy by exploiting quantum energy fluctuations of an entangled vacuum state of a quantum field.  The hypothesis proposes that energy may be injected into a zero-point fluctuation of the field at one place, and extracted from a fluctuation at another place.  Even for interstellar distance energy transfer, the amount of teleported energy is nonzero, but negligibly small.  In contrast, the teleportation protocol will be effective in small quantum worlds of nanoscale devices like quantum computers.

Amagansett, New York: Amagansett is a census-designated place that roughly corresponds to the hamlet by the same name in the Town of East Hampton in Suffolk County, New York, on the South Shore of Long Island.  As of the 2010 United States Census, the CDP population was 1,165.  Amagansett hamlet was founded in 1680.

Napeague State Park: Napeague State Park is a 1364 acre state park in the town of East Hampton in Suffolk County, New York.  The largely undeveloped park stretches across the entire narrow width of the South Fork of Long Island from the Atlantic Ocean to Gardiners Bay and Block Island Sound.  The park is located on either side of the Montauk Highway (New York Route 27) on the "Napeague Stretch" between Amagansett and Montauk.  The hamlet of Napeague is located on the park's edge.

El Maniel: El Maniel (haven) is the name given to high places (mountains) by runaway slaves in La Hispaniola.  The slaves chose the high sierras to hide because the hiking difficulty of those places.  The city of San José de Ocoa was founded by these slaves.  Also, there's another place called El Maniel, near Neyba in the southwestern part of the Dominican Republic.

List of New Jersey state parks: The New Jersey Division of Parks and Forestry manages a public park system which consists of over 50 protected areas designated as state parks, state forests, recreation areas, and other properties within the state of New Jersey in the United States.  The agency also owns and manages 38 historical sites and buildings throughout the state (some located within the boundaries of state parkland) and also owns five public marinas and four public golf courses.  These properties are administered by the Division's State Park Service, founded in 1923.  New Jersey's state park system includes properties as small as the 32 acre Barnegat Lighthouse State Park to the 115000 acre Wharton State Forest, the state's largest.  The state park system comprises 430928 acres —roughly 7.7% of New Jersey's land area—and serves over 17.8 million annual visitors.

List of Georgia state parks: This is a list of state parks in Georgia.  The park system of the US state of Georgia was founded in 1931 with Indian Springs State Park and Vogel State Park.  Indian Springs has been operated by the state as a public park since 1825, making it perhaps the oldest state park in the United States.  The newest state park is Don Carter.

Terry Wentz: Terry Wentz was a Pennsylvania State Parks Manager who served with the state for 34 years at four locations throughout South Central, Pennsylvania including Canoe Creek State Park, Trough Creek State Park, and Warriors Path State Park.  He is most noted for his work in progressive management and environmental education.  He founded Waxwing Associates, an Eco-tourism company that also provided wildlife management consulting and grant writing services.  Terry Wentz is noted for his work with the largest little brown bat colony east of the Mississippi River, which is located in an abandoned church at Canoe Creek State Park.  His conservation efforts have also resulted in further protections for the endangered Indiana Bats which reside in Canoe Creek State Park in an abandoned mine.  Terry Wentz is noted as one of the founding members of Rails To Trails of Central Pennsylvania.  His efforts in acquiring grants for land helped to establish the Lower Trail.  He also served time in Vietnam as a Dog Handler for the United States Army assigned to the 1st Cavalry Division.  Terry Wentz was also a Past President of the Juniata Valley Audubon Society, and served on the Juniata Valley Audubon Board for over a decade.  He helped develop a benefit horse ride trail for Dreams Go On, and organization that provides therapeutic horseback riding sessions to adults and children who are physically challenged, receive mental health, behavioral health or family therapy services.

Pillaimadam: Pillaimadam is a village of Ramanathapuram district, Tamil Nadu state in India.  The two place is important of Pillaimadam one of the nearest of vegetables garden and another place is nearest ariyaman beach.  Gulf of Mannar area is Pillaimadam.  Pillaimadam is nearest of Vedalai.  Sundaramudaiyan post -623519 Ramanathapuram dist Tamil Nadu state, India.

Father Hennepin State Park: Father Hennepin State Park is a state park of Minnesota, USA, located on the southeast corner of Mille Lacs Lake.  The park is named after Father Louis Hennepin, a priest who visited the area with a French expedition in 1680.  The 320 acre park has 103 campsites and a sandy beach over one mile (1.6 km) long.

Capital city: A capital city (or simply capital) is the municipality exercising primary status in a country, state, province, or other administrative region, usually as its seat of government.  A capital is typically a city that physically encompasses the offices and meeting places of its respective government; the status as capital is often designated by its law or constitution.  In some jurisdictions, including several countries, the different branches of government are located in different settlements.  In some cases, a distinction is made between the official (constitutional) capital and the seat of government, which is in another place.

Supporting paragraphs: Napeague State Park Amagansett, New York
Answer: Amagansett