McGovern had 268 yards passing for the Bears (1-2). Jakob Prall ran for two touchdowns and caught a pass for another.
McGovern capped his team's 12-play, 75-yard opening drive with a 3-yard pass to Prall for a 7-0 lead, and Prall ran for two more scores in the first half to stretch Brown's advantage to 21-0 at halftime.
Sebastian Dovi intercepted Gunther Johnson early in the second quarter and defensive end Ryan Putnam recovered a Johnson fumble following a sack by Michael Hoecht just before halftime.
Johnson had 73 yards passing for the Hoyas (1-4). Joshua Tomas ran for Georgetown's only touchdown, early in the third quarter.
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