Question: What is the name of the beach in the town of West Tisbury on the island of Martha's Vineyard? 

Context paragraphs:
Grange Hall (West Tisbury, Massachusetts): The Grange Hall in West Tisbury, Massachusetts is a historic post-and-beam building that was built in 1859.  West Tisbury is on the island of Martha's Vineyard.  The building is owned and has been restored by the Martha's Vineyard Preservation Trust, and is available for use.

Manuel F. Correllus State Forest: Manuel F. Correllus State Forest is a Massachusetts state forest located on Martha's Vineyard.  The forest borders Martha's Vineyard Airport on three sides and is chiefly in the towns of West Tisbury and Edgartown.  The forest is managed by the Department of Conservation and Recreation.

Old Mill (West Tisbury, Massachusetts): The Old Mill is an historic mill building at 690 Edgartown-West Tisbury Road in West Tisbury, Massachusetts, on the island of Martha's Vineyard.  The current structure was built c. 1848, and occupies a site that has seen industrial use since the 17th century.  The property is currently owned by the Martha's Vineyard Garden Club.

Makonikey: Makonikey is a rural neighborhood on Martha's Vineyard, Massachusetts, that lies on the border of Tisbury (also known as Vineyard Haven) and West Tisbury.  The Tisbury section is called Lower Makonikey, and the West Tisbury section is called Upper Makonikey.  The neighborhood lies between Lambert's Cove Road and the Vineyard Sound, near Makonikey Point.  It is a 5- to 10-minute drive from the center of Vineyard Haven.

Lambert's Cove: Lambert's Cove is a region in Tisbury and West Tisbury, Massachusetts, on the island of Martha's Vineyard.  It extends from Upper Lambert's Cove in west Tisbury to Lower Lambert's Cove in Tisbury.  Lambert's Cove Road accesses several roads of note, including Makonikey and Longview.  It is noted for its picturesque views of the hilly region of "up island."  The road is the only access to West Tisbury's north shore coastline, and accesses the only public beach of the town.  Some sites of note found along Lambert's Cove include Lambert's Cove Beach, Makonikey beach, Cottle's lumberyard, the old cranberry bog, Duarte's Pond and Seth's Pond.  It also accesses the FOCUS Study Center, a faith-based summer camp near Seth's Pond.  Lambert's Cove is also mentioned in popular folk artist James Taylor's song "Terra Nova" ("Out to the west of Lambert's Cove, there is a sail out in the sun..."), sung by then wife Carly Simon.

Martha's Vineyard: Martha's Vineyard (Wampanoag: "Noepe" , , often called just "the Vineyard") is an island located south of Cape Cod in Massachusetts that is known for being an affluent summer colony.  It includes the smaller Chappaquiddick Island which is usually connected to the Vineyard, though storms and hurricanes have been known to separate the two.  The last such separation of the islands was in 2007 and the two islands are again connected as of April 2, 2015.

Lambert's Cove Beach: Lambert's Cove Beach is a well known beach in the town of West Tisbury on the island of Martha's Vineyard in Massachusetts, United States.  The beach is located off Lambert's Cove Road, and is situated in a cove off of Vineyard Sound facing west towards the Elizabeth Islands.  It is known chiefly for the beauty of the beach and the setting, which recalls a Caribbean cove.

West Tisbury, Massachusetts: West Tisbury is a town located on Martha's Vineyard in Dukes County, Massachusetts, United States.  The population was 2,740 at the 2010 census.  Along with Chilmark and Aquinnah, West Tisbury forms "Up-Island" Martha's Vineyard.

West Chop: West Chop is a residential area located in the town of Tisbury, Massachusetts on the north end of the island of Martha's Vineyard.  It is a peninsula surrounded on the north and west by Vineyard Sound and on the east by Vineyard Haven Harbor.  A lighthouse, West Chop Light, stands at the north end of the chop.  It is accessible by car from Vineyard Haven by two roads, Franklin Street and Main Street.

Martha's Vineyard Airport: Martha's Vineyard Airport (IATA: MVY, ICAO: KMVY, FAA LID: MVY) is a public airport located in the middle of the island of Martha's Vineyard, three miles (5 km) south of the central business district of Vineyard Haven, in Dukes County, Massachusetts, United States.  This airport is owned by Dukes County and lies on the border between the towns of West Tisbury and Edgartown.  It is often used for general aviation but is also served by four commercial airlines.

Supporting paragraphs: Lambert's Cove Beach Martha's Vineyard
Answer: Lambert's Cove Beach