Question: Which Maine county had a 2010 population of over 50,000 and was where the designer of the Eaton School began his career?
Context: Monroe (historically French: "Poste-du-Ouachita" ) is the eighth-largest city in the U.S. state of Louisiana.  It is the parish seat of Ouachita Parish.  In the official 2010 census, Monroe had a population of 48,815.  The municipal population declined by 8.1 percent over the past decade; it was 53,107 in the 2000 census.  After a recheck in 2012, the Census Bureau changed the 2010 population from 48,815 to 49,147.  Mayor Jamie Mayo, however, maintains that the Monroe population is more than 50,000 and indicated that he will pursue a continued challenge to the count. Somerset County is a county located in the state of Maine, in the United States.  As of the 2010 census, the population was 52,228.  Its county seat is Skowhegan. Gibbs High School is a public high school located in Corryton, Tennessee.  The school was founded in 1913 in a two story brick building built on 12 acres which burned down in 1937.  The second building burned down 13 years later in 1950.  The third and current school is near the intersection of Tazewell Pike and East Emory Road.  When the new Gibbs Elementary School opened across Tazewell Pike in 2007, the high school began using the old elementary school building as an on-site Career and Technical Education facility.  Students can also take advantage of expanded career education course offerings at the North Knox Career and Technical Education Center located on the Halls High School campus 5 miles from the school.  The current principal at Gibbs High School is Jason Webster.  Assistant Principals are Denise McGaha, Scott Reed, and Jeff Thomas. Ocean County is a county located along the Jersey Shore in the U.S. state of New Jersey.  Its county seat is Toms River.  Since 1990, Ocean County has been one of New Jersey's fastest-growing counties.  As of the 2016 Census estimate, the county's population was 592,497, a 2.8% increase from the 576,567 enumerated in the 2010 United States Census, making Ocean the state's sixth-most populous county.  The 2010 population figure represented an increase of 65,651 (+12.8%) from the 2000 Census population of 510,916, as Ocean surpassed Union County to become the sixth-most populous county in the state.  Ocean County was also the fastest growing county in New Jersey between 2000 and 2010 in terms of increase in the number of residents and second-highest in percentage growth.  Ocean County was established on February 15, 1850, from portions of Monmouth County, with the addition of Little Egg Harbor Township which was annexed from Burlington County on March 30, 1891.  The most populous place was Lakewood Township, with 92,843 residents at the time of the 2010 Census (up 32,491 since 2000, the largest population increase of any municipality in the state), while Jackson Township, covered 100.62 sqmi , the largest total area of any municipality in the county. The Syms-Eaton Academy was America's first free public school.  Also known as Syms-Eaton Free School, the school was established in Hampton, Virginia in 1634.  It began as the Syms School, through the donation of 200 acre of land and eight cows for "a free school to educate and teach the children of the adjoining parishes of Elizabeth City and Poquoson from Marie's Mount downward to the Poquoson River", by Benjamin Syms on February 12, 1634.  Twenty-five years later, in 1659, Thomas Eaton donated 500 acre , buildings, livestock, and two slaves for the Eaton Charity School to serve the poor of Elizabeth City County.  The schools were so popular that in 1759 a statute was passed to provide for the attendance of only poor children at Eaton School. Waco ( ) is a city which is the county seat of McLennan County, Texas, United States.  It is situated along the Brazos River and I-35, halfway between Dallas and Austin.  The city had a 2010 population of 124,805, making it the 22nd-most populous city in the state.  The US Census 2016 population estimate is 134,432 The Waco Metropolitan Statistical Area consists of McLennan and Falls Counties, which had a 2010 population of 234,906.  Falls County was added to the Waco MSA in 2013.  The US Census 2016 population estimate for the Waco MSA is 265,207. Patrick Henry High School is a high school in Ashland, Virginia in Hanover County.  Patrick Henry is one of four high schools in Hanover County, and the only High school in the western half of the county.  In 1959, after years of deliberation, Patrick Henry High School began with the consolidation of Beaverdam, Henry Clay, Montpelier, and Rockville high schools.  The western Hanover County high school enrolled students in grades eight through twelve.  The name of the school, as well as the name of its literary publications, The Voice, The Spark, and The Orator, reference the history of Patrick Henry, Hanover County's most illustrious citizen.  Even the school colors of red, white, and blue are a patriotic symbol of history.  In 1969, Patrick Henry High and John M. Gandy High School merged to form one Integrated student body.  Also in 1969, a new junior high school was built, and Patrick Henry opened that school year as a senior high school serving students in grades ten through twelve.  When the junior high school was changed to a middle school in 1988, Patrick Henry became a high school enrolling students in grades nine through twelve.  The school campus of West Patrick Henry Road, which consists of a complex of buildings, began as a campus style school.  Additions of an auditorium, classrooms, cafeteria, new gymnasium, and renovations to the media center and administrative offices resulted in an all-enclosed facility in 1992.  As the population and the needs of the school have changed, so have the dimensions of the school.  A new addition/renovation was added to the facility in the fall of 2001 providing state-of-the-art career and technical education opportunities.  This addition consisted of a broadcasting studio, a bio-technology lab, a communication technology center, a computer-assisted drafting lab, and three classrooms.  Patrick Henry celebrated its 50th anniversary in September 2009.  Patrick Henry High has an International Baccalaureate program, as well as a NJROTC program.  Patrick Henry High is especially known for its NJROTC program that is consistently ranked among the top in the state of Virginia.  During the 2010-2011 school year, a program called Rachel's Challenge was introduced.  Patrick Henry High is also noted for its theatre program, being the best in the county, and taken most seriously. The Eaton School, in Norridgewock, Maine, also known as Somerset Grange #18, is a historic community building at Main Street and Mercer Road in Norridgewock, Maine.  Originally built in 1866-67 to house a private academy and the local Masonic lodge, it is notable as an early design of Charles F. Douglas, a Maine native whose career began in Somerset County.  The building is a fine local example of Second Empire design, and was listed on the National Register of Historic Places in 1988.  It has been owned since 1916 by the local chapter of the Grange. The Brook Hill School is an independent, Christian day and boarding school for students in grades PreK-12 located in Bullard just south of Tyler, Texas.  The school began in 1997 with 31 students and the boarding school began in 2003.  Today the school exists on 280 acres with over 640 students from East Texas and around the world with 21 countries represented among its student population. Charles H. Sawyer was born on March 24, 1868, probably in Norridgewock, Maine, the third son of Henry K. Sawyer, who ran a hotel and livery stable.  He, along with brothers Russell and William, were educated locally and then attended the Eaton School.  Here Charles studied art and painting; and it was here he met his future wife, Mary Anderson.
Answer: Somerset County