Question: Williams Field High School is named after a base in what county?

Context paragraphs:
Southern Ohio Conference: The Southern Ohio Conference (S.O.C.) is an athletic conference in Ohio.  The conference is also a member of the Ohio High School Athletic Association, the governing body of Ohio athletics.  There are currently sixteen member schools in the conference.  The S.O.C. includes teams from four different Ohio counties - Jackson County (Oak Hill High School), Lawrence County (Symmes Valley High School), Pike County (Waverly High School, Eastern High School, and Western High School), and Scioto County (Clay High School, Green High School, Glenwood High School, Sciotoville Community School, Valley High School, Northwest High School, Minford High School, Portsmouth West High School, Notre Dame High School, South Webster High School, and Wheelersburg High School).  The conference recognizes: baseball, boys' and girls' basketball, boys' and girls' cross country, football, boys' soccer, fast pitch softball, boys' and girls' swimming, boys' and girls' tennis, boys' and girls' track and field athletics, and girls' volleyball.

Central Bucks High School West: Central Bucks High School West is a public high school serving students in tenth through twelfth grades, the oldest of the three high schools in the Central Bucks School District.  CB West, as it is commonly known, is located in the Borough of Doylestown, Pennsylvania in Bucks County.  It was constructed in 1952 as the successor to Doylestown High School, which later burned down.  Originally named Central Bucks Joint Junior Senior High School, the school's name was changed to Central Bucks High School West in 1969 with the opening of the district's second high school, Central Bucks High School East.  CB West pulls its students from Doylestown, Chalfont, New Britain Township, Plumsteadville, Plumstead Township.  Students come from Unami Middle School, Lenape Middle School, and Tohickon Middle School.  Its sister schools are Central Bucks High School East and the newer Central Bucks High School South.

Field High School: Field High School is a public high school located in Brimfield, Ohio, United States, near Mogadore.  It is the only high school in the Field Local School District, which mainly enrolls students from Brimfield and Suffield townships, and the southern part of Kent.  Their athletic teams are known as the Falcons, and the school colors are red, white, and black.  The principal is Craig Nettleton and the vice principal is Tasha Stanton.  The school offers honors classes that include Honors English 9-12, A.P. Literature and Composition, Honors Math (Algebra I & II, Geometry, and AP Calculus), and Honors Science (Biology, I, and II, Chemistry, and Physics).

Old Mill High School: Old Mill Senior High School is an American public high school in Millersville, Maryland serving students in grades 9 through 12.  It was occupied in 1975 and is administered by Anne Arundel County Public Schools (AACPS).  The school was built to alleviate over-crowding at Arundel and Severna Park High Schools.  Along with Annapolis High School and Meade Senior High School, Old Mill Senior High is one of the three IB World Schools in Anne Arundel County.  The school building also houses the high school's two feeder schools, Old Mill Middle School North and Old Mill Middle School South.  The school mascot is "The Patriot".  Old Mill excels in academics as well as athletics, including on December 4, 2009 when Old Mill won the State Football Championship against Henry A. Wise, and on December 2, 2011 when Old Mill won the State Football Championship against Quince Orchard.  Old Mill also has major accomplishments in wrestling, track & field and basketball.  Old Mill's rivals are Arundel High School (football only) and Meade High School.

Fair Field High School: Fair Field High School is a comprehensive, co-educational school in Nazimabad No.1, Karachi, Pakistan.  It was founded in 1961 by Raja Abdul Qayyum Khan.

Forrest Beaty: Forrest O. Beaty is a retired American track and field athlete memorable for setting the National High School record in the straight 220 yard dash, a race slightly longer than the 200 metres straight.  It is the longest standing record on the books, although mostly because that distance is not ran anymore.  His record time, set on a Cinder track in 1961 as a high school junior at Herbert Hoover High School in Glendale, California was hand timed at 20.2 and equaled the world record for the imperially measured distance.  Later in his high school career, he also set the record for the 100-yard dash at 9.4, just .2 off the world record in that event.  He was also spectacular on the football field for the school.  He won both races at the CIF California State Meet (coming out of the tunnel at East Los Angeles College) in 1961, repeating in the 100y in 1962.  He was named the CIF Southern Section Athlete of the Year in 1962, the same award he shared with future Olympic Champion Ulis Williams in 1961.  He was also "Track and Field News" High School Athlete of the year in 1962.

Williams Field High School: Williams Field High School (WFHS) is a high school in Gilbert, Arizona.  It is the second high school formed by the Higley Unified School District, and opened in August 2007.  Its first students graduated in 2010.  The school is named after Williams Air Force Base (which went by the name Williams Field between 1942 and 1948; a local major road also bears the name Williams Field).  The school is located near Higley Elementary and the Lyons Gate community.

Halifax County High School: Halifax County High School is a public high school located in South Boston, Virginia, United States.  It is located less than 2 mi from Halifax County Middle School.  Having 1,793 students currently enrolled in the 2012–13 school year, there are 118 faculty members with a 15.1 student/teacher ratio.  At Halifax County High, students have the opportunity to take Advanced Placement course work and testing.  Halifax county high school is equipped with two football fields, one soccer field, one field for baseball, and a basketball arena.  Halifax County high school currently runs on the semester system.  The student body makeup is 49 percent male and 51 percent female, and the total minority enrollment is 51 percent.  Halifax County High is the only high school in the Halifax County Public Schools.  Halifax County High School has an 82.2 percent on-time graduation rate and a 2.1 percent drop out rate.

Williams Air Force Base: Williams Air Force Base is a former United States Air Force (USAF) base, located in Maricopa County, Arizona east of Chandler, and about 30 mi southeast of Phoenix.  The area has since been annexed by the city of Mesa.  It is a designated Superfund site due to a number of soil and groundwater contaminants.

Ivan Williams Field: Ivan Williams Field is a football and track stadium located in Fenton, Michigan.  The original 1,700-seat stadium was built in 1969 as Tiger Field, along with the rest of the Fenton High School campus and served as home to the high school's Tigers football and track teams for 37 years.

Supporting paragraphs: Williams Field High School Williams Air Force Base
Answer: Maricopa County