Question: The Battle of Setauket was held on a Loyalist outpost in what county of New York?

Context paragraphs:
Caroline Church and Cemetery: Caroline Church and Cemetery is a historic church and cemetery and also a national historic district at the junction of Dyke and Bates Roads in Setauket, Suffolk County, New York.  The church was built in 1729 and is a three-by-four-bay, heavy timber-framed, 42 by 30 foot building sheathed in wood shingles and covered by a gable roof.  It features a 42-foot tower surmounted by a 25-foot spire.  The complex also includes the parish house, built in 1905, and a barn built in 1893.  The cemetery was established in 1734.

Selah B. Strong: Selah Brewster Strong (May 1, 1792 Brookhaven, Suffolk County, New York – November 29, 1872 Setauket, Suffolk Co, NY) was an American lawyer and politician from New York.

Battle of Stony Point: The Battle of Stony Point took place on July 16, 1779, during the American Revolutionary War.  In a well planned and executed nighttime attack, a highly trained select group of George Washington's Continental Army troops under the command of Brigadier General "Mad Anthony" Wayne defeated British troops in quick and daring assault on their outpost in Stony Point, New York, approximately 30 miles north of New York City.

Setauket Presbyterian Church and Burial Ground: Setauket Presbyterian Church and Burial Ground, also known as First Presbyterian Church of Brookhaven, is a historic Presbyterian church and cemetery at 5 Caroline Avenue in the Village of Setauket, Suffolk County, New York.

Battle of Young's House: The Battle of Young's House was a skirmish fought outside New York City between British and American forces on February 3, 1780 during the American Revolutionary War.  A British force attacked and destroyed a Continental Army outpost in Westchester County, New York.

Setauket-East Setauket, New York: Setauket-East Setauket , more commonly known as the Setaukets (or that region's core), is a census-designated place (CDP) in Suffolk County, New York, on the North Shore of Long Island.  As of the 2010 United States Census, the CDP population was 15,477.  The CDP encompasses the hamlets of Setauket (formerly "West Setauket") and East Setauket.  It was founded in 1655, the first settlement in what would become the Town of Brookhaven.

Thompson House (Setauket, New York): Thompson House is a historic house on N. Country Road in Setauket, Suffolk County, New York.  It was built in 1709 and is a saltbox form dwelling.  It is a rectangular, timber frame two story building with a one story wing.  It features a steeply pitched, asymmetrical gable roof with a central brick chimney.

2nd Albany County Militia Regiment: The 2nd Albany County Militia Regiment was the local militia unit for Schenectady, New York, during the American Revolutionary War under the command of Colonel Abraham Wemple.  The regiment saw action with the Continental Army in 1777 at the Battle of Saratoga in General John Glover's brigade.  It was called out to fight against the loyalist and their Indian allies at the Battle of Klock's Field on October 19, 1780, and Battle of Johnstown on October 25, 1781.  A member from the 2nd Albany may have been the person who killed the Loyalist officer Walter Butler of Butler's Rangers on October 30, 1781, during a skirmish.

Battle of Setauket: The Battle of Setauket (August 22, 1777) was a failed attack during the American Revolutionary War on a fortified Loyalist outpost in Setauket, Long Island, New York, by a force of Continental Army troops from Connecticut under the command of Brigadier General Samuel Holden Parsons.

Abraham Woodhull: Abraham Woodhull (October 7, 1750January 23, 1826) was a leading member of the American Culper Spy Ring in New York City and Setauket, New York, during the American Revolution.  He used the alias "Samuel Culper", later "Samuel Culper, Sr.," a play on Culpeper County, Virginia, suggested by George Washington.  The Culper Ring was a successful operation which provided Washington with valuable information on the British Army headquartered in and operating out of New York, from October 1778 until the end of the American Revolutionary War.  After the United States gained independence, Woodhull served as a magistrate and a judge in Suffolk County, New York.

Supporting paragraphs: Battle of Setauket Setauket-East Setauket, New York
Answer: Suffolk County