Question: Which private university in Lexington, Kentucky did American botanist, Charles Wilkins Short, attend?

Context paragraphs:
Charles Wilkins Short: Charles Wilkins Short (October 6, 1794 – March 7, 1863) was an American botanist.  He primarily worked in the state of Kentucky.  Short discovered several species of plants and has six species of plants named after him.  He attended Transylvania University and the University of Pennsylvania.  In addition to being a botanist, he practiced medicine and taught materia medica.  Short also owned a sizable herbarium.  Short retired from teaching in 1849.

Alice Carter Cook: Alice Carter Cook (April 8, 1868 – April 23, 1943), born Alice Carter, was an American botanist, who in 1888 received from Syracuse University the first PhD in botany granted to a woman by any American university.  Carter was born in New York City on to parents Samuel Thompson Carter and Alantha Carter (née Pratt).  Her father was a clergyman of nearby Huntington, New York.  She studied at Mount Holyoke Seminary (now Mount Holyoke College) before enrolling at Syracuse for her doctorate.  She subsequently taught at Mount Holyoke for three years before attending Cornell University where she earned a second graduate degree, an M.S. in botany, in 1892.  That same year she married fellow botanist Orator Fuller Cook, and later accompanied him on expeditions to Africa and the Canary Islands.

Guy N. Collins: Guy N. Collins (August 19, 1872 – August 14, 1938) was an American botanist, plant explorer, and geneticist.  He studied in Liberia and Puerto Rico with Orator Fuller Cook, and later became Principal Botanist in the USDA Division of Cereal Crops and Diseases.  Collins was born in the hamlet of Mertensia, New York on August 19, 1872, and attended Syracuse University before dropping out to pursue botanical studies with Cook.  He was close friends with David Fairchild.  He died on August 14, 1938, from endocarditis, an infection of the heart.  His nephew Harold Loomis was also a botanist who worked with Cook.

Abel A. Hunter: Abel Aken Hunter (September 18, 1877 – April 6, 1935) was an American botanist notable for his contributions to science primarily in the collection of the orchids of Panama.  From 1915-1935, he was a team member on scientifically significant orchid hunting expeditions with many of the collectors and researchers of the day: Charles Powell, George Pring, Carroll Dodge, Julian Steyermark, and Paul Allen.  He earned his reputation in field work as an outgrowth of his friendship with Charles Powell.  In a unique period in Panama's history, his first orchid collecting adventure took place with Powell during a fishing trip on the newly man-created Gatun Lake in 1912.  By 1915, both Hunter and Powell were living and working in Balboa, Panama.  As a hobby, Powell started an orchid garden.  Beginning in 1918, the two men would spend leave periods from their employment on extended collecting expeditions: their mission morphing over the years from that of hobby collecting to systematic scientific collecting.  In 1919, Powell submitted their findings for identification to German botanist Rudolf Schlechter who published, in 1922, "Orchidaceae Powellianae Panamenses", a 95-page study of Powell's Panama orchids—Schlechter naming five of the new to science species to honor Hunter.

Robert Ornduff: Robert Ornduff (1932–2000) was an American botanist.  He was Director of the University and Jepson Herbaria, Director of the University of California Botanical Garden, Executive Director of the Miller Institute for Basic Research in Science, and Chair of the (former) Department of Botany and Professor of Integrative Biology at the University of California at Berkeley.  Botanist Phyllis M. Faber said of him following his death, ""his extensive knowledge and love of the California flora remains unmatched.

Sullivan University: Sullivan University is profit based and licensed to offer bachelor's, master's and doctoral degrees by the Kentucky Council on Postsecondary Education in accordance with the provisions of KRS 164.945-164.99, based in Louisville, Kentucky and is accredited by the Southern Association of Colleges and Schools—the first for-profit college or university to receive this accreditation.  Sullivan University currently has physical campuses in Louisville, Lexington, and Fort Knox, and an online campus.  With approximately 6,000 students, Sullivan is Kentucky's largest private university.

Andrew C. Thornton II: Andrew Carter Thornton II (1945–1985) was a former narcotics officer and lawyer who became the head member of "The Company", a drug smuggling ring in Kentucky.  The son of Carter and Peggy Thornton of Threave Main Stud farm in southern Bourbon County, Kentucky, Thornton grew up living a privileged life in the Lexington, Kentucky area and attended the prestigious private Sayre School and the Iroquois Polo Club along with other Lexington blue bloods.  He later transferred to Sewanee Military Academy and then joined the army as a paratrooper.  After quitting the army, he became a Lexington police officer on the narcotics task force.  He then attended the University of Kentucky Law School.  During his tenure, he began smuggling.

Amos Eaton: Amos Eaton (17 May 1776 – 10 May 1842) was an American botanist, geologist, and educator who is considered the founder of the modern scientific prospectus in education, which was a radical departure from the American liberal arts tradition of classics, religious classes, lecture, and recitation.  Eaton co-founded the Rensselaer School in 1824 with Stephen van Rensselaer III "in the application of science to the common purposes of life".  His books in the eighteenth century were among the first published for which a systematic treatment of the United States was attempted, and in a language that all could read.  His teaching laboratory for botany in the 1820s was the first of its kind in the country.  Eaton's popular lectures and writings inspired numerous thinkers, in particular women, whom he encouraged to attend his public talks on experimental philosophy.  Emma Willard would found the Troy Female Seminary (Emma Willard School), and Mary Mason Lyon, the Mount Holyoke Female Seminary (Mount Holyoke College).  Eaton held the rank of senior professor at Rensselaer until his death in 1842.

Shortia: Shortia is a small genus of subshrubs or perennial herbs in the family Diapensiaceae.  There are five species, four in Asia and one in the Appalachian Mountains of eastern North America.  They are found in mountainous areas, generally from 1000 – elevation.  All have restricted ranges and are generally considered rare.  Three of the species, "S. galacifolia", "S. soldanelloides", and "S. uniflora" are often cultivated.  The genus was by Asa Gray named after botanist Charles Wilkins Short.  In Gray's diary entry for April 8, 1839, he named the genus after Charles Wilkins Short because the plant was native to America in a region close to where Short lived, which was Kentucky.  Short and Gray never met but they corresponded with one another frequently.  Short never saw a live nor dried specimen of his namesake genus.

Transylvania University: Transylvania University is a private university in Lexington, Kentucky, United States.  It was founded in 1780, making it the first university in Kentucky and among the oldest in the United States.  It offers 36 major programs, as well as dual-degree engineering programs, and is accredited by the Southern Association of Colleges and Schools.  Transylvania's name, meaning "across the woods" in Latin, stems from the university's founding in the heavily forested region of western Virginia known as the Transylvania Colony, which became most of Kentucky in 1792.  Transylvania is the alma mater of two U.S. vice presidents, two U.S. Supreme Court justices, fifty U.S. senators, 101 U.S. representatives, 36 U.S. governors, and 34 U.S. ambassadors, making it a large producer of U.S. statesmen.  Its medical program graduated 8,000 physicians by 1859.  Its enduring footprint, both in national and Southern academia, make it among the most prolific cultural establishments and the most storied institutions in the South.

Supporting paragraphs: Charles Wilkins Short Transylvania University
Answer: Transylvania University