Question: The Paumanok Path goes from Montauk Point State Park to a hamlet and census-designated place in what county?

Context paragraphs:
Yellow Creek State Park: Yellow Creek State Park is a Pennsylvania state park on 2981 acre in Brush Valley and Cherryhill Townships, Indiana County, Pennsylvania in the United States.  The park encompasses parts of Yellow Creek and Little Yellow Creek.  The old Kittanning Path goes through the parkland.  The park was established in 1963.  An additional 159 acre of developed land were purchased in 1982.  Yellow Creek Lake, a 720 acre man-made lake, was built in 1969 by an earth and rock dam on Yellow Creek.  Yellow Creek State Park is between the boroughs of Ebensburg and Indiana on U.S. Route 422.

Montauk Point State Park: Montauk Point State Park is a 862 acre state park located in the hamlet of Montauk, at the eastern tip of Long Island in the Town of East Hampton, Suffolk County, New York.  Montauk Point is the easternmost extremity of the South Fork of Long Island, and thus also of New York State.

Paumanok Path: The Paumanok Path is a 125 mi hiking trail in New York on Long Island that goes from Rocky Point to Montauk Point State Park.

Montauk Point Light: The Montauk Point Light is a lighthouse located adjacent to Montauk Point State Park, at the easternmost point of Long Island, in the hamlet of Montauk in the Town of East Hampton in Suffolk County, New York.  The lighthouse was the first to be built within the state of New York, and was the first public works project of the new United States.  It is the fourth oldest active lighthouse in the United States.  Long listed on the National Register of Historic Places, in 2012, it was designated as a National Historic Landmark for its significance to New York and international shipping in the early Federal period.

New York State Route 27: New York State Route 27 (NY 27) is an east–west 120.58 mi long state highway extending from Interstate 278 (I-278) in the New York City borough of Brooklyn to Montauk Point State Park on Long Island, New York, in the United States.  Its two most prominent components are Sunrise Highway and Montauk Highway, the latter of which includes the Montauk Point State Parkway.  East of the interchange with the Heckscher State Parkway in Islip Terrace, NY 27 acts as the primary east–west highway on southern Long Island.  The entire route in Suffolk, Nassau, and Queens counties was designated by the New York State Senate as the POW/MIA Memorial Highway.  Every town on the South Shore is accessible through Sunrise Highway.  The service roads that parallel the highway from Farmingdale to Brookhaven are officially designated, but not signed, as New York State Route 906C and New York State Route 906D.

Colton Point State Park: Colton Point State Park is a 368 acre Pennsylvania state park in Tioga County, Pennsylvania, in the United States.  It is on the west side of the Pine Creek Gorge, also known as the Grand Canyon of Pennsylvania, which is 800 ft deep and nearly 4000 ft across at this location.  The park extends from the creek in the bottom of the gorge up to the rim and across part of the plateau to the west.  Colton Point State Park is known for its views of the Pine Creek Gorge, and offers opportunities for picnicking, hiking, fishing and hunting, whitewater boating, and camping.  Colton Point is surrounded by Tioga State Forest and its sister park, Leonard Harrison State Park, on the east rim.  The park is on a state forest road in Shippen Township 5 mi south of U.S. Route 6.

Rocky Point, New York: Rocky Point is a hamlet and 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 14,014.  Rocky Point is a community in the Town of Brookhaven.

Fox Point State Park: Fox Point State Park is a Delaware state park on 108 acre along the Delaware River in New Castle County, Delaware in the United States.  The park, which opened in 1995, has been built atop a former hazardous waste site that has been rehabilitated under an adaptive reuse program that was spearheaded by S. Marston Fox and the Fox Point Civic Association.  Fox Point State Park is open for year-round use from 8:00 am until sunset.  The park offers recreational opportunities on biking and pedestrian trails with picnic facilities, a playground and volleyball and horseshoes facilities.  Fox Point State Park is just off Interstate 495 and is the northern terminus of Delaware's Coastal Heritage Greenway.

Montauk Highway: Montauk Highway is an east–west road extending for 95 mi across the southern shore of Long Island in Suffolk County, New York, in the United States.  It extends from the Nassau County line in Amityville, where it connects to Merrick Road, to Montauk Point State Park at the very eastern end of Long Island in Montauk.  The highway is known by several designations along its routing, primarily New York State Route 27A (NY 27A) from the county line to Oakdale and NY 27 east of Southampton.  The portion of Montauk Highway between Oakdale and Southampton is mostly county-maintained as County Route 80 and County Route 85 (CR 80 and CR 85, respectively).

Montauk County Park: Montauk County Park, formerly known as Theodore Roosevelt County Park, is located approximately 3 mi east of Montauk, New York.  The park is 1157 acres in size, running from Montauk Highway north to Block Island Sound and is bordered on the east by Montauk Point State Park.

Supporting paragraphs: Paumanok Path Rocky Point, New York
Answer: Suffolk County