This question is difficult to answer, given the "mythical" national championship in Division 1-FBS (I-A) and the fact that Division 2 was only organized in the 1970s (previously known under different names, including "college division").
There have been coaches to win national titles at both the FBS and FCS levels (Jim Tressel being the most recent, having won at Youngstown State and Ohio State), but there are no verifiable instances of a coach winning a D-II and D-I-FBS title since Division 2 was officially chartered.
Ohio states coach
Marshall won the Division 1-AA national championship in 1992 and 1996.
Yes In 1980 Division 1-AA against Eastern Kentucky in Sacramento, California. Jim Criner was the head coach. BSU also won the national Championship as a Junior College in 1958.
the answer your looking for is Howard Schnellenberger
Paul "Bear" Bryant for Alabama.
Coach Billy Joe, Central State University (Ohio)
Raymond Domenech is the current coach of the French national football team.
Texas A&M was named the Associated Press' national champion in 1939 when they went 11-0. The head coach of the 1939 Aggies was Homer Norton, who was head coach between 1934-1947.
Their are alot of them.
Lars Lagerback is the Nigeria national football team coach.
Bobby Houghton of England is the current coach of Indian Football National Team