The 2009 Heisman Trophy winner out of Alabama found the end zone for the first time in his NFL career on a 13-yard touchdown run late in the game, putting the Saints (2-1) ahead for good in a see-saw affair.
Drew Brees racked up 370 yards and three scoring strikes while surrendering a pair of interceptions for New Orleans.
Schaub, meanwhile, completed 22-of-39 passes for 373 yards and three touchdowns with a pick-off.
Notable deaths of 2014 [PHOTOS]
Julius Randle breaks leg during NBA debut