Question: Which Hiking trail starts in the Town of Brookhaven?

Context paragraphs:
Fundy Footpath: The Fundy Footpath is a 41 km hiking trail that starts at the Fundy Trail Parkway from Big Salmon River to Fundy National Park in New Brunswick, Canada.  The trail connects to the 33 km Fundy Trail at Fundy National Park, which in turn connects to the Dobson Trail.  The trail's earliest route was blazed by Jack McKay in the early 1980s but it fell into disuse.  It was reestablished by Alonzo and Gilles Leger along with many, many other volunteers throughout the late 1980 and early 90's.  The trail was officially opened in 1994 under the management of the Fundy Hiking Trail Association Inc.  In 2012 over 500 people hiked the trail.

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.

Lone Star Hiking Trail: The Lone Star Hiking Trail (LSHT) is a hiking trail 96 miles long with an additional 32 miles of loop and crossover trails of "foot-path only" trails.  Located in the Sam Houston National Forest it is the longest continuous hiking trail in the State of Texas.  The trail starts just South of Richards, Texas and ends North-West of Cleveland, Texas.

Hedge Creek Falls: Hedge Creek Falls is a waterfall on hedge creek, in the Shasta Cascade area in Dunsmuir, California.  There is a small cave located behind the waterfall, allowing visitors to walk behind the cascading water.  Shortly after the waterfall, hedge creek flows into the Sacramento River south of Mossbrae Falls.  There is a viewing platform over the river, with a view of Mount Shasta.  Access to the waterfall and viewing platform is via a short hiking trail.  The trail starts at a small park off the Dunsmuir Ave/Siskiyou Ave exit on Interstate 5.  The close proximity to Interstate 5, makes the waterfall a very popular stopping point for passing motorist.

Leigh Lake Trail: The Leigh Lake Trail is a 5 mi long hiking trail in Grand Teton National Park in the U.S. state of Wyoming.  For its entire length it is also part of the Valley Trail.  The trail starts at the Leigh Lake trailhead and follows the eastern shores of String and Leigh Lakes and extends to Trapper Lake.  The Leigh Lake trailhead is off the one-way road from North Jenny Lake Junction.  The trail provides access to a half dozen camping sites on Leigh, Bearpaw and Trapper Lakes.

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.

Oak Ridges Trail Association: The Oak Ridges Trail Association (ORTA) is an incorporated charitable organisation whose purpose is to develop, maintain, promote and expand the hiking trail system across the Oak Ridges Moraine in south-central Ontario, Canada.  ORTA has ten chapters, each of which maintains a section of the approximately 250 km of trail.  The Oak Ridges Trail is connected to the Bruce Trail, Ganaraska Trail, Nokiidaa Trail and Trans Canada Trail.  ORTA is governed by a Board of Directors who have responsibilities for managing the various aspects of the organization.  Directors on the Board are elected at an Annual General Meeting.  ORTA Mission Statement is "To build and maintain a public hiking trail system on the Oak Ridges moraine, off-road where possible, and To organize and promote hiking on this trail system, and To encourage responsible stewardship of the Moraine's natural environment."

Panther Creek Falls Trail: Panther Creek Falls Trail is an interior hiking trail in Georgia's Cohutta Mountains, in Fannin County, northwest of Ellijay, at the southern end of the Smoky Mountains.  The trail falls within the 35,000-acre Cohutta Wilderness, part of the Wilderness's 87 mile (140 km) trail system.  As an interior trail, Panther Creek Falls cannot be accessed by road, but only via other hiking trails.  Eastern access is via the East Cowpen Trail, and its western access via the Conasauga River Trail.  The trail starts at the confluence of Panther Creek and the Conasauga River.

Ostkustleden: Ostkustleden (in English: East Coast Trail) is a 99 mile (160 km) long hiking trail in the south-east of Sweden.  The trail extends within the borders of Oskarshamn municipality.  Ostkustleden was created between 1970-1977 by the environmental nonprofit organization "Döderhults naturskyddsförening" ("the Döderhult´s Society for the Conservation of Nature").  The trail starts six miles outside Oskarshamn at "Lilla Hycklinge" ().  Along the trail there are cabins which can be rented for accommodation.

Hiking trail of the Piusa River: Hiking trail of the Piusa River of RMK (State Forest Management Centre) is a 15 kilometre long hiking trail past Vana-Vastseliina castle ruins along the primeval valley of the Piusa River up to Lindora village in Estonia.  The trail is marked by wooden signposts and information boards that introduce the sights.  There are two campfire sights on the trail supplied with barbecue grills and with the possibility of camping.  There are two picnic tables with shelters and a dry toilet.  The hiking trail is situated on Piusa River Valley Landscape Protection Area and among the most interesting sights on the trail are castle ruins, sandstone outcrops Härma Mäemine wall or Keldri wall (highest sandstone outcrop in Estonia), Härma alumine wall or Keldri wall and several old mill places.  There are altogether 12 sandstone outcrops on the hiking trail.

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