Laurence Maroney of the Patriots.
The Patriots scored first. New England scored first, in the first qtr. on a 36 yard Field Goal by Tony Franklin to put the patriots up 3-0.
Patriots RB Laurence Maroney on a 1 yard run on the first play of the 2nd quarter.
He scored his first touchdown against Southern Mississippi.
Safety James Sanders scored on a 39 yard interception return in the fourth quarter of the Patriots 35-7 victory over the Bills.
In 2001 when he started
Matt Flynn...December 18th vs New England Patriots. 3 Touchdown passes with 13:44 left in the game
While there are touchdowns that have made history for the Green Bay Packers there is no known record of the first touchdown being scored nor by whom.
Barry Sanders scored his first NFL touchdown on September 10, 1989.