Question: What state is the location of this embayment off Long Island Sound that is the location of the Cornelius Van Wyck House?

full_context: Document 1: Denton Homestead: Denton Homestead is a historic home located at East Rockaway in Nassau County, New York. It was built as a tavern about 1795, and is a 1 1/2-story, five bay, center hall plan, vernacular Colonial style frame dwelling. The Denton family bought it in 1808 and converted to a residential farmhouse. It has a side gable roof and a hipped roof addition added after the house was moved to its present location in 1924. The front facade features a full width, shed roofed front porch. The interior features some Colonial Revival style design elements. Also on the property is a contributing carriage house (c. 1900). The house is a rare surviving former tavern and farmhouse from the village’s early period.
Document 2: Van Cortlandt House Museum: The Van Cortlandt House Museum, also known as the Frederick Van Cortlandt House or simply the Van Cortlandt House, is the oldest building in the borough of the Bronx in New York City. The house was built in 1748 in the Georgian style by Frederick Van Cortlandt (1699–1749) for his family. Van Cortlandt died before its completion and the property was inherited by his son, James Van Cortlandt (1727–1787). It is a 2 ⁄ -story, L-shaped house with a double hipped roof. It was built of dressed fieldstone and is representative of the high Georgian style.
Document 3: Douglaston Historic District: Douglaston Historic District is a national historic district in Douglaston, Queens, New York. It includes 631 contributing buildings and three contributing sites on a mile-long peninsula extending into Little Neck Bay. All but one of the buildings are in residential use and the majority were built in the early- to mid-20th century as a planned suburban community known as Douglas Manor. In the early 20th century, the Rickert-Finlay Realty Company of Manhattan purchased 175 acre of the Douglas' family holdings, and formed the Douglas Manor Association, creating a planned community. Many of the houses in this area were built in architectural styles popular at the time, such as Tudor, Mediterranean, Colonial Revival, and Arts and Crafts. Located within the district are the separately listed Cornelius Van Wyck House (c. 1735) and Allen-Beville House (c. 1848-1850). Another notable early building is the Van Zandt manor house (c. 1819), which is now the Douglaston Club.
Document 4: C. Van Der Zee House: C. Van Der Zee House is a historic home located at Coeymans Hollow in Albany County, New York. It was built about 1850 and is a rectangular, two story heavy timber frame dwelling on a random coursed rubblestone foundation. It has a one story gable roofed wing. It has a Greek Revival style recessed entry door. Also on the property are a barn (c. 1850), fruit barn (c. 1870), barn foundation (c. 1850), shed (c. 1870), and a chicken coop (c. 1870).
Document 5: Long Island City: Long Island City (LIC) is the westernmost residential and commercial neighborhood of the New York City borough of Queens. LIC is noted for its rapid and ongoing residential growth and gentrification, its waterfront parks, and its thriving arts community. LIC has among the highest concentration of art galleries, art institutions, and studio space of any neighborhood in New York City. It is bordered by Astoria to the north; the East River to the west; Hazen Street, 49th Street, and New Calvary Cemetery in Sunnyside to the east; and Newtown Creek—which separates Queens from Greenpoint, Brooklyn—to the south. It originally was the seat of government of the Town of Newtown, and remains the largest neighborhood in Queens. The area is part of Queens Community Board 1, located north of the Queensboro Bridge and Queens Plaza; it is also of Queens Community Board 2 to the south.
Document 6: Long Island: The Long Island is a large, densely-populated island off the East Coast of the United States, beginning at New York Harbor just 0.35 miles (0.56 km) from Manhattan Island and extending eastward into the Atlantic Ocean. The island comprises four counties in the U.S. state of New York: Kings and Queens (which comprise the New York City boroughs of Brooklyn and Queens, respectively) to the west; and Nassau and Suffolk to the east. However, many people in the New York metropolitan area (even those living in Brooklyn and Queens) colloquially use the term "Long Island" (or "The Island") exclusively to refer to the Nassau–Suffolk county area collectively, which is mainly suburban in character. The majority of New York City residents now live on Long Island.
Document 7: Broad Channel, Queens: Broad Channel is a neighborhood in the New York City borough of Queens. It occupies the southern portion of Rulers Bar Hassock (known colloquially as "Broad Channel Island"), which is the only inhabited island in Jamaica Bay, with three thousand inhabitants. The neighborhood stands on Big Egg Marsh, an area of fill approximately 20 blocks long and 4 blocks wide; the community is an inholding within the Gateway National Recreation Area, a unit of the U.S National Park Service. The area comprises several artificial canals separating dead-end residential blocks. It is connected to the rest of Queens by road and subway bridges.
Document 8: Flushing Bay: Flushing Bay is a tidal embayment in New York City. It is located on the south side of the East River and stretches to the south near the neighborhood of Flushing, Queens. It is bordered on the west by LaGuardia Airport and the Grand Central Parkway, on the south by Northern Boulevard, and on the east by the neighborhood of College Point. The Flushing River empties into the bay at its southeast corner. A 150 ft dredged at a depth of 14 ft runs along much of the bay's length.
Document 9: Little Neck Bay: Little Neck Bay is an embayment in western Long Island, New York, off Long Island Sound. Little Neck Bay forms the western boundary of the Great Neck Peninsula, the eastern boundary of which is Manhasset Bay. The political boundary between Nassau County and the borough of Queens runs through the bay, bordering the neighborhoods of Douglaston/Little Neck.
Document 10: Old Dutch Church (Kingston, New York): The Old Dutch Church, officially known as the First Reformed Protestant Dutch Church of Kingston, is located on Wall Street in Kingston, New York, United States. Formally organized in 1659, it is one of the oldest continuously existing congregations in the country. Its current building, the fifth, is an 1852 structure by Minard Lafever that was designated a National Historic Landmark in 2008, the only one in the city. The church's 225 ft steeple, a replacement for a taller but similar original that collapsed, makes it the tallest building in Kingston and a symbol of the city.
Document 11: Eastchester Bay: Eastchester Bay is a protected body of water between City Island and the mainland Bronx, New York. Technically, it is a sound, not a bay, since it is open to larger bodies of water at both ends. The northern end connects via a narrow channel to Pelham Bay (which is also really a sound, since it, in turn, opens onto Long Island Sound). The Hutchinson River empties into Eastchester Bay near the northern end. The lower portion of the bay opens onto the East River, Little Neck Bay, and Long Island Sound.
Document 12: Cornelius Van Wyck House: The Cornelius Van Wyck House is an 18th-century Dutch Colonial home located on the shore of Little Neck Bay in the Douglaston section of Queens in New York City. This house overlooks Little Neck Bay and is well known for both its age and architecture, and especially for its original owners. It was designated as a landmark by the New York City Landmarks Preservation Commission in 1966 and added to the National Register of Historic Places in 1983. The Cornelius Van Wyck House is considered to be the "most impressive architectural remnant of the early Dutch Culture" in New York.
Document 13: Outer barrier: The outer barrier, also known as the Long Island and New York City barrier islands, refers to the string of barrier islands that divide the lagoons south of Long Island, New York from the Atlantic Ocean. These islands include Coney Island, Long Beach Barrier Island, Island Park, Jones Beach Island, Fire Island and Westhampton Island. The outer barrier extends 75 mi along the South Shore of Long Island, from Rockaway Beach on the New York City/Nassau County border from Long Beach Barrier Islands' western edge, to Suffolk County's east end of Shinnecock Bay.
Document 14: Van Cortlandt Manor: Van Cortlandt Manor is a house and property located near the confluence of the Croton and Hudson Rivers in the village of Croton-on-Hudson in Westchester County, New York, United States. The stone and brick manor house is now a museum and is a National Historic Landmark.
Document 15: South Shore Estuary: The South Shore Estuary is an estuary located along the south shore of Long Island, between the mainland and the outer barrier islands, in eastern New York state. It stretches for over 70 mi from West Bay in Nassau County to the Shinnecock Bay in Suffolk County.
ground_truth: New York