Bradshaw rushed for 261 yards and 5 touchdowns in the conference victory.
And it was South Carolina's fifth conference victory in a row this season, another first for the program.
The Cadets set program records in wins (25) and conference victories (17).
It was the fourth straight conference victory without a loss for St. Peter's, which is 12-3 over all.
It was the team's first conference victory since the 2004 season.
Green's 13 conference victories this season matched his career high.
Through the 2011 season, its 357 conference victories rank second in conference history.
Consecutive conference victories are a cause for celebration, especially after what may have been the team's best performance of the season.
He led Northwestern to 8 conference victories in his senior season, the first time since 1968.
It was the third straight conference victory for Georgetown (14-5, 4-3).