The most rushing touchdowns in a single game by an individual player is 6, by Ernie Nevers of the Chicago Cardinals in 1929.
The most rushing touchdowns in a single game by a team is 9, achieved twice in the 1922 season, once by Rock Island and once by Racine.
http://www.infoplease.com/ipsa/A0909367.html
http://www.nfl.com/history/randf/records/team/rushing
LaDainian Tomlinson holds the record for the most touchdowns in a single season as a running back.
Dan Marino holds the record for most passing touchdowns in a championship game
Walter Peyton
Most rushing touchdowns, game: 6, Ernie Nevers, November 28, 1929
LaDainian Tomlinson led the NFL in rushing touchdowns in 2004 with 17.
In the NFL, running back Billy Sims of the Detroit Lions scored the most touchdowns in the 1980 season with 16.
Devin Hester holds the record for the most punt return touchdowns in a single game.
What damien tomlinson
Emmit smith
Since you don't know I will tell you. I 2007 I believe the running back at the University of Delaware scored 7 touchdowns in one game, six rushing and one by reception.
Five touchdowns vs. Denver in Superbowl XXIV.
Tiki Barber