Alexander Anthony Farrelly (December 29, 1923 – September 10, 2002) was an American politician and the fourth elected Governor of the United States Virgin Islands, serving from 1987 to 1995. Farrelly graduated from St. John's University, Queens, New York in 1954 with a bachelor's degree in law. He later went on to earn a master's degree in law from Yale University in 1958. Farrelly and his wife were married for eleven years before he died at his home in Arlington, Virginia, on September 10, 2002.