Question: H. Frank Carey Junior-Senior High School serves students in the census-designated place in what New York county?

Context paragraphs:
Fairview Independent Schools (Kentucky): Fairview Independent Schools is a public school district based in Boyd County, Kentucky, United States.  The district serves the area within the census-designated place of Westwood.  The district consists of two schools: Fairview High School and Fairview Elementary School.  The elementary school serves students from Pre-K to fifth grade and the high school serves students from sixth grade to twelfth grade.

Wethersfield High School (Illinois): Wethersfield High School, also known as Kewanee (Wethersfield) High School, is a public four-year high school located at 439 Willard St. in Kewanee, Illinois, a city in Kewanee and Wethersfield Townships of Henry County, Illinois, in the Midwestern United States.  Wetherfield High School is part of Wethersfield Community Unit School District 230, which also includes Wethersfield Junior High School, and Wethersfield Elementary School.  The school is combined with the Wethersfield Junior High School to form Wethersfield Junior-Senior High School.  Furthermore, Wethersfield Junior-Senior High School is co-located with Wethersfield Elementary School.  Because all students attend the same academic center the school prides itself in getting to know the students over their 13 years of attendance.  However, academics, athletics, and activities remain mostly separate and inline with comparable elementary, middle, and high school curriculum.  The campus is 40 miles northeast of Galesburg, Illinois, 44 miles southeast of Moline, Illinois, and serves a mixed village and rural residential community.  The school is one of two high schools in the city of Kewanee, the other being Kewanee High School.  The school is within the Davenport-Moline-Rock Island, IA-IL metropolitan statistical area.

H. Frank Carey Junior-Senior High School: H. Frank Carey High School is a public high school located in Franklin Square, New York serving students in the seventh through twelfth grades from the towns of Franklin Square, Garden City South, West Hempstead, and Elmont.  The school's principal was Valerie Angelillo up until the 2016-2017 school year, when she was replaced by Christopher Fiore.

Eastside Junior-Senior High School: Eastside Junior-Senior High School is a public secondary school located in Butler, Indiana.  The school serves students in grades 7 to 12 for the DeKalb County Eastern Community School District.

East Rockaway High School: East Rockaway Junior-Senior High School (often abbreviated ERHS) is a co-educational six-year secondary school in East Rockaway, New York, and the sole high school in Nassau County, New York, School District 41 (East Rockaway School District), the smallest school district in Nassau County.  It is currently undergoing renovations to expand the school into a middle school and high school, becoming a seven-year secondary school.  East Rockaway High School serves graduates from local Centre Ave. and Rhame Ave. Elementary Schools, as well as the private St. Raymond Elementary School.

Lincoln High School (Yonkers, New York): Lincoln High School is located in Yonkers, New York.  It is one of the seven public high schools in the city and has an enrollment of about eight hundred students.  The front portion of the building was opened in 1953 as Southeast Yonkers Jr., Sr.  High School with grades 6 through 8.  It was completed in 1955 and renamed Lincoln Junior-Senior High School the following year.  After the first year, 6th grade was dropped and 9th grade added and when the building was completed it became Lincoln Junior-Senior High School, enrolling grades 7 through 12.  In the late 1970s, the junior high grades were removed, and the school became a four-year, grade 9-12, high school.  Unlike what many believe, the school was named Lincoln after the area of Yonkers it was situated in, rather than for Abraham Lincoln.  The first graduating class which went continuously from 6th grade to 12th grade graduated in 1960 with a very high percentage going on to college.  Several graduates returned to Lincoln as teachers.  The school colors are purple and white and mascot a Lancer both chosen by the 1960 class.

Sewanhaka Central High School District: The Sewanhaka Central High School District is a central high school district located in western Nassau County on Long Island, in New York State.  The district is currently composed of five high schools: Sewanhaka High School, Elmont Memorial High School, New Hyde Park Memorial High School, Floral Park Memorial High School, and H. Frank Carey Junior-Senior High School.

Concordia Junior-Senior High School: Concordia Junior-Senior High School is a public secondary school in Concordia, Kansas, USA operated by Unified School District 333, and serves students of grades 7 to 12.  It is called the "Junior-Senior" high school because the junior high school (grades 7-8) and senior high school (grades 9-12) are housed in the same building complex.

Garden City South, New York: Garden City South is a hamlet and census-designated place (CDP) in Nassau County, New York, United States.  The population was 4,024 at the 2010 census.

Dodgeville School District: The Dodgeville School District is headquartered in the city of Dodgeville, Wisconsin.  It serves students from Dodgeville and Ridgeway.  It consists of four schools: two elementary schools, one middle school, and one high school.  One elementary school is located in Dodgeville; Dodgeville Elementary, the other in Ridgeway; Ridgeway Elementary.  The Dodgeville school serves students in pre-K through 4th grade, and the Ridgeway school serves those in pre-K through 5th grade.  The middle school serves grades 6 through 8, and the high school serves grades 9 through 12.

Supporting paragraphs: H. Frank Carey Junior-Senior High School Garden City South, New York
Answer: Nassau