Ohio State has been to 10 Final Fours.
Memphis has been in 3 Final Fours: 1973, 1985 and 2008.
17
UConn Huskies women
Through March Madness 2008, Louisville has been in 8 final fours: 2005, 1986, 1983, 1982, 1980, 1975, 1972, 1959 Louisville won the national championship in 1980 and 1986.
There have been a number of Final Four teams from state capitals, the most recent being Ohio State University (Columbus) in 2012 and Butler University (Indianapolis) in 2010 and 2011.
4 times - 1988, 1994, 1997, and 2001.
3 counting this year 1980, 2006, 2011
They are often played at places like the New Orleans Superdome and Indianapolis RCA Dome.
UCLA has appeared in 18 Final Fours: 1962, 1964, 1965, 1967-1976, 1980, 1995, 2006-2008. The 1980 Final Four was vacated by the NCAA due to violations, but technically, UCLA has appeared in 18 Final Fours, tied with North Carolina.
The University of Houston and the University of Illinois have both been in the Final Four 5 times. Neither of them have won a championship.
Ohio has always been a northern state, at least since it became a state in 1803. Therefore, yes, Ohio was a union state in 1862.
10 times