Here is the league record of same season NFL QB MVP's playing in Super Bowl games throughout the history of the NFL's crown jewel:
67 - SB I - Bart Starr - Packers (-14) 35, Chiefs 10 - win and cover
69 - SB III - Earl Morrall - Colts (-18) 7, Jets 16 - lose no cover
79 - SB XIII - Terry Bradshaw - Steelers (-3.5) 35, Cowboys 31 - win and cover
82 - SB XVI - Ken Anderson - Bengals (+1) 21, 49ers 26 lose no cover
84 - SB XVIII - Joe Theismann - Redskins (-3) 9, Raiders 38 - lose no cover
85 - SB XIX - Dan Marino - Dolphins (+3.5) 16, 49ers 38 - lose no cover
88 - SB XXII - John Elway - Broncos (-3) 10, Redskins 42 - lose no cover
89 - SB XXIII - Boomer Esiason - Bengals (+7) 16, 49ers 20 - lose and cover
90 - SB XXIV - Joe Montana 49ers (-12) 55, Broncos 10 - win and cover
95 - SB XXIX - Steve Young 49ers (-18.5) 49, Chargers 26 - win and cover
97 - SB XXXI - Brett Favre - Packers (-14) 35, Patriots 21 - win and push
98 - SB XXXII - Brett Favre - Packers (-11) 24, Broncos 31 - lose no cover
00 - SB XXXIV - Kurt Warner - Rams (-7) 23, Titans 16 - win and push
02 - SB XXXVI - Kurt Warner - Rams (-14) 17, Patriots 20 - lose no cover
03 - SB XXXVII - Rich Gannon - Raiders (-4) 21, Buccaneers 48 - lose no cover
08 - SB XLII - Tom Brady - Patriots (-12) 14, Giants 17 - lose no cover
10 - SB XLIV - Peyton Manning - Colts (-5) 17, Saints 31 - lose no cover