Question: The village that is served by The Hastings-on-Hudson Metro-North Railroad station is in what New York county?

Context paragraphs:
Larchmont (Metro-North station): Larchmont is a Metro-North Railroad station on the New Haven Line in Larchmont, New York.  It is mostly served by local trains originating or terminating at Stamford.  The New England Thruway (Interstate 95) runs alongside the station, underneath a parking ramp for rail commuters.  Larchmont Station was originally built by the New York and New Haven Railroad and was rebuilt by the New York, New Haven and Hartford Railroad twice during the 20th century; First in the 1920s in order to facilitate a separate New York, Westchester and Boston Railway station, and again in the mid-1950s for construction of the New England Thruway.

Katonah (Metro-North station): The Katonah Metro-North Railroad station serves the residents of the Westchester County village of Katonah, New York, via the Harlem Line.  It is 41.2 miles (66 km) from Grand Central Terminal and the average travel time to Grand Central is one hour, six minutes.  This station is located in the Zone 6 Metro-North fare zone.

Hastings-on-Hudson, New York: Hastings-on-Hudson is a village in Westchester County, New York, United States.  It is located in the southwest part of the town of Greenburgh.  As of the 2010 census, it had a population of 7,849.  It lies on U.S. Route 9, "Broadway" in Hastings.  Hastings is an inner suburb of New York City.

Dykeman's (NYCRR station): Dykeman's was a station on the Harlem Line of the New York Central Railroad (now Metro-North Railroad).  It was 55 miles from Grand Central Terminal.  Rail service in Dykeman's can be traced as far back as 1848 with the establishment of the New York and Harlem Railroad, which became part of the New York Central and Hudson River Railroad in 1864 and eventually taken over by the New York Central Railroad.  Dykeman's was also the northern terminus of double tracks on the Harlem Line which were controlled by "Signal Station X" until 1948.  The station house was replaced by a small shelter on August 6, 1961, and was closed when the New York Central merged into Penn Central in 1968.  No station structures remain at the site, which the MTA replaced with Brewster North Railroad Station in 1980.

White Plains (Metro-North station): The White Plains Metro-North Railroad station serves the residents of White Plains, New York via the Harlem Line.  It is 22.3 mi from Grand Central Terminal, and the average travel time varies between 33 and 51 minutes (depending on if a train is express or local).  With 9166 daily commuters as of 2006, White Plains is the busiest Metro-North station (other than Grand Central) in Westchester County, and the busiest non-terminal or transfer station on the New York Commuter Network.

Appalachian Trail (Metro-North station): The Appalachian Trail Metro-North Railroad station serves campers and hikers destined for the Appalachian Trail in Dutchess County, New York via the Harlem Line.  It is the only rail station directly located on the Appalachian Trail.  Trains stop at Appalachian Trail on Saturdays, Sundays, and holidays only.  The Connecticut State line is about 7 miles from the station.  It is 65.9 mi from Grand Central Terminal and travel time to Grand Central is approximately 1 hour 52 minutes.  This station is the northernmost station in the Zone 8 Metro-North fare zone.  There are no transportation connections via bus or taxi, but NY 22 is only steps away from the station.

Haverstraw–Ossining Ferry: The Haverstraw–Ossining Ferry is a passenger ferry which connects Haverstraw, New York with Ossining, New York over the Haverstraw Bay and Hudson River.  The ferry operates during rush hours on weekdays only, primarily transporting commuters from the west side of the river to the Ossining Metro-North Railroad station on the east side, where they can transfer to Metro-North Railroad trains headed to Grand Central Terminal in New York City, or Croton-Harmon and Poughkeepsie, via its Hudson Line.  Connections are also available at Ossining to the Bee-Line Bus System's 13, 13B, and 19 routes.  The Ossining terminal is at a pier adjacent to the west side of the station, and the Haverstraw terminal is at a pier on the eastern end of Dr. Girling Drive.

Fordham (Metro-North station): Fordham (also known as Fordham–East 190th Street) is a Metro-North Railroad station serving the Fordham neighborhood of the Bronx, New York.  Located on the Harlem and New Haven Lines, the station is 8.9 mi from Grand Central Terminal.  The platforms are situated just below street level and feature two expanded side platforms that serve eight cars each, on the outer tracks.  The station building sits above the tracks on the Fordham Road (East 190th Street) overpass, and still bears the name New York Central Railroad on its facade.  This station is among the busiest in the Metro-North system.

Metro-North Railroad: The Metro-North Commuter Railroad (reporting mark MNCW) , trading as MTA Metro-North Railroad or simply Metro-North, is a suburban commuter rail service run by the Metropolitan Transportation Authority (MTA), a public authority of the state of New York.  With an average weekday ridership of 298,900 in 2014, it is the second-busiest commuter railroad in North America in terms of annual ridership, behind its sister railroad, the Long Island Rail Road.  Metro-North runs service between New York City and its northern suburbs in New York and Connecticut, including Port Jervis, Spring Valley, Poughkeepsie, White Plains, and Wassaic in New York and New Canaan, Danbury, Waterbury, and New Haven in Connecticut.  Metro-North also provides local rail service within New York City at a reduced fare.  There are 124 stations on Metro-North Railroad's five active lines (plus the Meadowlands Rail Line), which operate on more than 775 mi of track, with the passenger railroad system totaling 385 mi of route.

Hastings-on-Hudson (Metro-North station): The Hastings-on-Hudson Metro-North Railroad station serves Hastings-on-Hudson, New York via the Hudson Line.  Trains leave for New York City every 25 to 35 minutes on weekdays.  It is 18.7 miles from Grand Central Terminal and travel time to Grand Central, making local stops, is about 41 minutes.

Supporting paragraphs: Hastings-on-Hudson (Metro-North station) Hastings-on-Hudson, New York
Answer: Westchester County