Question: Which American university was established first, Ohio State University or Williams College?

full_context: Document 1: Amherst College: Amherst College ( ) is a private liberal arts college located in Amherst, Massachusetts, United States. Founded in 1821 as an attempt to relocate Williams College by its president, Zephaniah Swift Moore, Amherst is the third oldest institution of higher education in Massachusetts. The institution was named after the town, which in turn had been named after Lord Jeffery Amherst. Amherst was established as a men's college and became coeducational in 1975.
Document 2: Washington College: Washington College is a private, independent liberal arts college located on a 112 acre campus in Chestertown, Maryland, on the Eastern Shore. Maryland granted Washington College its charter in 1782. George Washington supported the founding of the college by consenting to have the "College at Chester" named in his honor, through generous financial support, and through service on the college's Board of Visitors and Governors. Washington College is the 10th-oldest college in the United States and was the first college chartered after American independence. The school became coeducational in 1891.
Document 3: Ohio University: Ohio University is a large, primarily residential, public research university in Athens, Ohio, United States. The first university chartered by an Act of Congress and the oldest in Ohio, it was chartered in 1787 and subsequently reapproved for the territory in 1802 and state in 1804, opening for students in 1809. s of 2016 , the university's total enrollment, including all campuses, was more than 36,800.
Document 4: Ohio State University, Mansfield Campus: The Ohio State University at Mansfield is a regional campus of The Ohio State University located in Mansfield, Ohio. It was founded in 1958 as a land-grant college. Its 644 acre campus is situated in the western foothills of the Allegheny Plateau, the North Central Ohio region, with easy access to Columbus and Cleveland. The campus offers seven bachelor degree programs and two master degree programs. Students can start at Mansfield and finish their degrees at The Ohio State University, Columbus, with one or more of Ohio State’s 170 majors. The Bromfield Library of the OSU mansfield campus provides access to all the resources of The Ohio State University and Ohio Link.
Document 5: List of Presidents of Ohio State University: This List of Presidents of Ohio State University includes all who have served as university presidents of Ohio State University since its founding in 1870. Ohio State University is a public research university in Columbus, Ohio. Founded in 1870, as a land-grant university and ninth university in Ohio with the Morrill Act of 1862, the university was originally known as the Ohio Agricultural and Mechanical College. In 1878, in light of its expanded focus, the college permanently changed its name to The Ohio State University.
Document 6: Smith College: Smith College is a private, independent women's liberal arts college with coed graduate and certificate programs, located in Northampton, Massachusetts, United States. It is the largest member of the Seven Sisters. In its 2017 edition, "U.S. News & World Report" ranked it tied for 12th among the best National Liberal Arts Colleges. Smith is also a member of the Five Colleges consortium, which allows its students to attend classes at four other Pioneer Valley institutions: Mount Holyoke College, Amherst College, Hampshire College, and the University of Massachusetts Amherst.
Document 7: History of Ohio State University: The Ohio State University was founded in 1870 as a land-grant university in accordance with the Morrill Act of 1862 under the name of Ohio Agricultural and Mechanical College. The school was originally situated within a farming community located on the northern edge of Columbus, and was intended to matriculate students of various agricultural and mechanical disciplines. The university opened its doors to 24 students on September 18, 1873. In 1878, the first class of six men graduated. The first woman graduated the following year. In 1878, in light of its expanded focus, the college permanently changed its name to the now-familiar "The Ohio State University". Ohio State began accepting graduate students in the 1880s, with the university awarding its first master's and doctoral degrees in 1886 and 1890 respectively. 1891 saw the founding of Ohio State's law school. Presently, the university has reached the ranking of becoming a "Public Ivy", as well as very receiving high rankings and awards from many institutions, including "U.S. News", Academic Ranking of World Universities.
Document 8: Williams College: Williams College is a private liberal arts college in Williamstown, Massachusetts, United States. It was established in 1793 with funds from the estate of Ephraim Williams a colonist from the Province of Massachusetts Bay who was killed in the French and Indian War in 1755. The college was ranked first in 2017 in the "U.S. News & World Report"' s liberal arts ranking for the 15th consecutive year, and third among liberal art colleges in the 2017 "Forbes" magazine ranking of America's Top Colleges.
Document 9: Hampden–Sydney College: Hampden–Sydney College, also known as H–SC, is a liberal arts college for men located in Hampden Sydney, Virginia, United States. Founded in 1775, Hampden–Sydney is the oldest private charter college in the Southern U.S., the 10th oldest college in the U.S., the last college founded before the American Revolution, and one of only three four-year, all-men's liberal arts colleges in the United States. Hampden–Sydney College is listed on the National Register of Historic Places and the Virginia Landmarks Register.
Document 10: Ohio State University: The Ohio State University, commonly referred to as Ohio State or OSU, is a large, primarily residential, public university in Columbus, Ohio. Founded in 1870 as a land-grant university and ninth university in Ohio with the Morrill Act of 1862, the university was originally known as the Ohio Agricultural and Mechanical College (Mech). The college began with a focus on training students in various agricultural and mechanical disciplines but was developed into a comprehensive university under the direction of then Governor (later, President) Rutherford B. Hayes, and in 1878 the Ohio General Assembly passed a law changing the name to "The Ohio State University". It has since grown into the third-largest university campus in the United States. Along with its main campus in Columbus, Ohio State also operates a regional campus system with regional campuses in Lima, Mansfield, Marion, Newark, and Wooster.
Document 11: List of Williams College presidents: Williams College is an American private liberal arts college located in Williamstown, Massachusetts. Established in 1793 with funds from the estate of Ephraim Williams, Williams is one of the oldest academic institutions in the United States. Williams forms part of the historic Little Three colleges, along with Wesleyan University and rival Amherst College.
Document 12: Williams College (disambiguation): Williams College is a private liberal arts college in Williamstown Massachusetts.
Document 13: Oklahoma State University–Stillwater: Oklahoma State University (also referred to informally as Oklahoma State, OKState, and OSU), is a land-grant, sun-grant, coeducational public research university located in Stillwater, Oklahoma, United States. OSU was founded in 1890 under the Morrill Act. Originally known as Oklahoma Agricultural and Mechanical College (Oklahoma A&M), it is the flagship institution of the Oklahoma State University System. Official enrollment for the fall 2010 semester system-wide was 35,073, with 23,459 students enrolled at OSU-Stillwater. Enrollment shows the Freshman class of 2012 was the largest on record with 4,298 students. OSU is classified by the Carnegie Foundation as a research university with high research activity.
Document 14: Ohio State University, Lima Campus: The Ohio State University, Lima, also referred to as Ohio State Lima is a regional campus of Ohio State University located in Lima, Ohio. Its 565 acre campus is located in Lima, 80 mi south of Toledo, Ohio. It offers over 140 courses and 9 bachelor degree programs in science and liberal Arts. Nine of eleven programs are four-year programs at Lima. Two of them are baccalaureate completion programs. In addition to regional accreditation, Ohio State Lima has baccalaureate program accreditation with NCATE. Students can start at Lima and finish their degrees at The Ohio State University, Columbus with one of Ohio State’s 170+ majors. The Ohio State University at Lima offers over 20 student clubs and organizations. There are also 12 intramural and club athletic teams. The Lima Campus Library has 76,000 volumes and 200+ journal subscriptions. Library databases also provide access to thousands of online journals. The University shares the campus with James A. Rhodes State College.
Document 15: Dartmouth College: Dartmouth College ( ) is a private Ivy League research university in Hanover, New Hampshire, United States. Established in 1769 by Eleazar Wheelock, it is the ninth-oldest institution of higher education in the United States and one of the nine colonial colleges chartered before the American Revolution. Although founded as a school to educate Native Americans in Christian theology and the English way of life, Dartmouth primarily trained Congregationalist ministers throughout its early history before it gradually secularized, emerging at the turn of the 20th century from relative obscurity into national prominence.
ground_truth: Williams College