Question: Where is the school which is football rivalry of the The Hill School located? 

full_context: Document 1: High school secret societies: Collegiate secret societies within America's universities have a long tradition, initially started within East Coast colleges, and eventually trickling down into what became the secret societies found at America's oldest boarding schools. Between 1898 and 1908, high school secret societies were a recognizable feature within the school system, and Otto C. Schneider, President of the Chicago School Board of 1908, took an active role in stopping their influence within secondary schools. Initial growth in the Midwest may have been fueled by competition with the East Coast. Boston Latin, the oldest public school in America, and Erasmus High School often had football matches with Chicago's top public schools, thereby spreading an influence from the East Coast to the Midwest.
Document 2: Phillips Academy: Phillips Academy Andover (also known as Phillips Academy, Andover, or PA) is a co-educational university-preparatory school for boarding and day students in grades 9–12, along with a post-graduate (PG) year. The school is in Andover, Massachusetts, United States, 25 miles north of Boston. Phillips Academy has 1,150 students, and is a selective school, accepting 13% of applicants. It is part of the Ten Schools Admissions Organization as well as the G20 Schools Group.
Document 3: Penn Quakers football: The Penn Quakers football team is the college football team at the University of Pennsylvania in Philadelphia, Pennsylvania. The Penn Quakers have competed in the Ivy League since its inaugural season of 1956, and are currently a Division I Football Championship Subdivision (FCS) member of the National Collegiate Athletic Association (NCAA). Penn has played in 1,364 football games, the most of any school in any division. Penn plays its home games at historic Franklin Field, the oldest football stadium in the US. All Penn games are broadcast on WNTP or WFIL radio.
Document 4: Mercer County Park: The Richard J. Coffee Mercer County Park is a recreational park located mostly within West Windsor in Mercer County, New Jersey. Originally and still more commonly known as simply Mercer County Park, it was renamed for New Jersey State Senator Richard J. Coffee on October 15, 2009. The park encompasses over 2500 acre covering much of southern West Windsor, with portions extending into adjacent Hamilton and Lawrence. Mercer Lake, located within the park, is the home for the US Olympic Rowing Team's training center. The National Softball Association honored the Mercer County Park Commission with its "Outstanding Parks Award" for the softball fields and facilities in Mercer County Park. It has served as the home field for the New Jersey Pride of the Major League Lacrosse for one game in 2004, 2005 and 2006.
Document 5: Glades Central High School: Glades Central High School is a high school located in Belle Glade, Florida. In the 2014–15 school year its enrollment numbered 992 students. It is known for having one of the best high school football teams in the nation, with more football players in the NFL and in the NCAA than any other high school. In fact the "New York Times" reported that small, rural Glades Central had produced more current National Football League players than any other high school in the country with 7 during the 2001 season. The Raiders have won six Florida High School football titles, tying for the second most in state history with Lakeland and University Christian. Their main rival is Pahokee Blue Devils. Meets between the two are known as the Muck Bowl one of the most famous high school rivalry games in the nation and can draw up to 25,000 spectators each year. Glades Central has won 17 out of the 25 games since 1984.
Document 6: English–Latin football rivalry: Since 1887, two of the oldest public schools in the United States, the Boston Latin School and English High School of Boston, have faced off in an annual football rivalry which now takes place on Thanksgiving day at Harvard Stadium. The rivalry is the oldest continuous high school football rivalry in the U.S, and fifth longest all time behind Phillips Academy versus Phillips Exeter Academy, Wellesley, Massachusetts versus Needham, Massachusetts, New London, Connecticut versus Norwich Free Academy in Norwich, Connecticut, and Lawrenceville School vs. The Hill School.
Document 7: Boston Latin School: The Boston Latin School is a public "exam school" in Boston, Massachusetts. Established on April 23, 1635, it is the oldest and first public school in the United States. The Public Latin School was a bastion for educating the sons of the Boston "Brahmin" elite, resulting in the School claiming many prominent Bostonians, Massachusetts citizens and New Englanders as alumni. Its curriculum follows that of the 18th century Latin-school movement, which holds the "classics" to be the basis of an educated mind. Four years of Latin are mandatory for all pupils who enter the School in the 7th grade, three years for those who enter in the 9th. In 2007, the School was named one of the top twenty high schools in the United States by "U.S. News & World Report" magazine. It is a part of Boston Public Schools (BPS).
Document 8: St. Augustine Preparatory School: St. Augustine Preparatory School is a private all-male Roman Catholic four-year college preparatory school located in the Richland section of Buena Vista Township, in Atlantic County, New Jersey, United States. Located on 118 acre of wooded property, it serves students in ninth through twelfth grade from across South Jersey under the auspices of the Roman Catholic Diocese of Camden. The school has been accredited by the Middle States Association of Colleges and Schools Commission on Secondary Schools since 1983 and the New Jersey Association of Independent Schools. St. Augustine was founded in 1959 by the Order of Saint Augustine as a minor seminary to help young men prepare for studies in the priesthood and religious life; the first class was a mixture of seminarians and day students. The school is a member of the Augustinian Secondary Education Association.
Document 9: Dwight-Englewood School: The Dwight–Englewood School (D-E) is an independent coeducational college-preparatory day school, located in Englewood, New Jersey. The school teaches students from pre-kindergarten through twelfth grade in three functionally separate schools. The Lower School (also known as the Bede School) serves students in pre-kindergarten through 5th grade in the Bede building. The Middle School, in Umpleby Hall, serves students in grades 6-8. The Upper School serves grades 9-12, and it houses its administration in the Leggett building and the Klein Campus center. Other buildings are the Hajjar STEM Center, Swartley Arts Center, the Imperatore Library, the Modell Sports Complex.
Document 10: Stevens Cooperative School: Stevens Cooperative School is a private school for two-year-olds through 8th grade with campuses in Hoboken and Newport, Jersey City. Founded in 1949, Stevens is the oldest parent cooperative school in New Jersey, and an excellent model of progressive education in action. Originally an informal playgroup for children of the faculty at Stevens Institute of Technology, the school has grown into a full progressive nursery, elementary and middle school with over 420 students. The Stevens community consists of a diverse population of families representing a broad range of towns including Hoboken, Jersey City, Weehawken, North Bergen, Secaucus, Union City, Bayonne, West New York, Cliffside Park and other NJ locations and Manhattan.
Document 11: The Rivalry (Lehigh–Lafayette): The Rivalry is an American college football rivalry game played by the Lafayette Leopards football team of Lafayette College and the Lehigh Mountain Hawks football team of Lehigh University. It is the most-played football rivalry in the nation and the longest uninterrupted annual rivalry series. As of 2016, "The Rivalry" has been played 152 times since 1884 with only a single interruption in 1896. The college's football teams met twice annually (except 1891, when they played three games, and 1896, when they did not play at all) until 1901. The two institutions are located seventeen miles apart in the Lehigh Valley in eastern Pennsylvania. Though primarily alluding to football, "The Rivalry" pertains to a meeting between the two schools in all sports and other endeavors.
Document 12: Manchester Township High School: Manchester Township High School is a four-year comprehensive public high school that serves students in ninth through twelfth grades in Manchester Township in Ocean County, New Jersey, United States, as the lone secondary school of the Manchester Township School District. The school also serves approximately 150 high school students from Lakehurst Borough, who attend as part of a sending/receiving relationship with the Lakehurst School District.
Document 13: Florida–Georgia football rivalry: The Florida–Georgia football rivalry is an American college football rivalry game played annually by the University of Florida Gators and the University of Georgia Bulldogs. The game was first played in 1904, and has been played every season since 1926, except for a war-time interruption in 1943. This match-up between Southeastern Conference opponents is one of the most prominent rivalry games in college football, and has been held in Jacksonville, Florida since 1933, with only two exceptions, making it one of the few remaining neutral-site rivalries. The game attracts huge crowds to Jacksonville.
Document 14: Lawrenceville School: The Lawrenceville School is a coeducational, independent college preparatory boarding school for students in ninth through twelfth grades. The school is located on 700 acre in the historic Lawrenceville section of Lawrence Township, in Mercer County, New Jersey, United States.
Document 15: Central Jersey College Prep Charter School: Central Jersey College Prep Charter School is a comprehensive public charter middle school elementary/ high school that serves students in kindergarten through second grade and sixth through twelfth grades, located in the Somerset section of Franklin Township, in Somerset County, New Jersey, United States. The school operates under the terms of a charter granted by the New Jersey Department of Education granted in 2006. In addition to students from Franklin Township, the school also serves students from the neighboring communities of New Brunswick and North Brunswick Township in Middlesex County.
ground_truth: the historic Lawrenceville section of Lawrence Township