Question: Where is the team that is a member of the Liberty Division of the Atlantic League of Professional Baseball, that plays their home games in a 6,002-seat baseball park in Central Islip, New York, based?

Context paragraphs:
Bethpage Ballpark: Bethpage Ballpark is a 6,002-seat baseball park in Central Islip, New York that serves as the home of the Long Island Ducks, an independent minor league baseball team that is a member of the Atlantic League of Professional Baseball.  Its first regular season game took place on May 14, 2000, when the Ducks played host to the Aberdeen Arsenal.  The game was the first in the history of both franchises, as they both entered the Atlantic League at the same time.  Bethpage Ballpark hosted the 2002 and 2010 Atlantic League All-Star Games.

TD Bank Ballpark: TD Bank Ballpark is a 6,100-seat baseball park in Bridgewater Township, New Jersey that is the home of the Somerset Patriots, who play in the Atlantic League of Professional Baseball.  The ballpark hosts 70 Patriots games plus some playoff games and other high school and corporate events each year.  The ballpark is centrally located in the heart of Somerset County, New Jersey.

Somerset Patriots: The Somerset Patriots are an American professional baseball team based in Bridgewater Township, New Jersey.  They are a member of the Liberty Division of the Atlantic League of Professional Baseball, which is not affiliated with Major League Baseball.  From the 1999 season to the present, the Patriots have played their home games at TD Bank Ballpark.

Bridgeport Bluefish: The Bridgeport Bluefish were an American professional baseball team based in Bridgeport, Connecticut.  The team was a member of the Liberty Division of the Atlantic League of Professional Baseball, which is not affiliated with Major League Baseball.  They played their home games at The Ballpark at Harbor Yard from 1998 to 2017.  It was announced that the franchise will relocate to High Point, NC in 2019.

Pete Rose Jr.: Peter Edward "PJ" Rose Jr. (born November 16, 1969) is the manager of the Wichita Wingnuts in the American Association of Independent Professional Baseball and former professional baseball player.  The son of Major League Baseball's all-time hits leader Pete Rose, Rose Jr. played in the minor leagues most of his career except for a brief stint in for the Cincinnati Reds.  He was released September 14, 2009, by the York Revolution of the Atlantic League of Professional Baseball.  In 2011, he joined the White Sox coaching staff and became the manager of their Appalachian League (rookie league) affiliate in Bristol.  In 2012, he moved up to the Pioneer League with the affiliate in Great Falls, Montana.  After one season, he advanced to the lower-A South Atlantic League team in Kannapolis, North Carolina.

Wheeler Field (Virginia Beach): Wheeler Field is a planned 5,000-seat baseball park in Virginia Beach, Virginia.  It will host the Virginia Beach Neptunes of the Atlantic League of Professional Baseball, an unspecified team in a summer wooden-bat league, and a junior college team from Tidewater Community College's Virginia Beach campus.  Wheeler Capital, a limited liability company that specializes in venture capital financing and small business loans throughout the Mid-Atlantic states, purchased the naming rights for the stadium for an undisclosed amount through 2025.

York Revolution: The York Revolution is an American professional baseball team based in York, Pennsylvania.  It is a member of the Freedom Division of the Atlantic League of Professional Baseball, an independent league not affiliated with Major League Baseball.  From the 2007 season to the present, the Revolution has played its home games at PeoplesBank Park, located in the Arch Street neighborhood.  The team has won the league championship three times, most recently over the Long Island Ducks on September 29, 2017.

Long Island Ducks: The Long Island Ducks are an American professional baseball team based in Central Islip, New York.  They are a member of the Liberty Division of the Atlantic League of Professional Baseball, which is not affiliated with Major League Baseball.  Since the 2000 season, the Ducks have played their home games at Bethpage Ballpark - formerly known as EAB Park, Citibank Park, and Suffolk County Sports Park.

Campbell's Field: Campbell's Field is a 6,425-seat baseball park in Camden, New Jersey, United States that hosted its first regular season baseball game on May 11, 2001.  The ballpark is home to the Rutgers–Camden college baseball team, and until 2015 was home to the Camden Riversharks of the independent Atlantic League of Professional Baseball.  The naming rights are owned by the Camden-based Campbell Soup Company, which paid $3 million over ten years.

Camden Riversharks: The Camden Riversharks were an American professional baseball team based in Camden, New Jersey.  They were a member of the Liberty Division of the Atlantic League of Professional Baseball, which is not affiliated with Major League Baseball.  From the 2001 season to 2015, the Riversharks played their home games at Campbell's Field, which is situated at the base of the Benjamin Franklin Bridge.  Due to its location on the Delaware River, the ballpark offers a clear view of the Philadelphia skyline.  The "Riversharks" name refers to the location of Camden on the Delaware River, as the primary logo incorporates the Benjamin Franklin Bridge that links Camden to Philadelphia.

Supporting paragraphs: Long Island Ducks Bethpage Ballpark
Answer: Central Islip, New York