The Mountain Hawks (7-0, 1-0) have won 15 straight regular-season games dating back to last season, good for the longest active streak in the Football Championship Subdivision.
Barket, who finished with 123 yards rushing, tied the game 7-7 with his 1-yard touchdown run.
Georgetown (3-4, 0-1) regained the lead, 14-7, behind Jeremy Moore's 80-yard interception return for a touchdown with 3:52 left in the first half. The Hoyas' defense forced turnovers (four interceptions, one fumble) on five of Lehigh's first eight possessions.
The Mountain Hawks' offense rallied in the second half, opening the third quarter with a 9-play, 76-yard scoring drive. Keith Sherman capped the drive with a 1-yard touchdown.
Peery's field goal with 10:58 remaining sealed the win.
Transfer Vernon Adams will be the starting quarterback when Oregon begins its season against Eastern Washington on Sept. 5.
Tim Beckman is threatening legal action after Illinois fired him as football coach Friday amid allegations of influencing medical decisions and pressuring players to play hurt.
LSU offensive coordinator Cam Cameron revealed in a post-practice news conference that he has been treated for prostate cancer but plans to coach this season.
The woman who accused former Baylor defensive end Sam Ukwuachu of raping her in 2013 has hired a Title IX law firm to represent her in potential civil litigation.
Arkansas tight end C.J. O'Grady has been arrested by Fayetteville police and charged with driving while intoxicated and being a minor in possession of alcohol.
Cincinnati coach Tommy Tuberville said he will consider withholding some cost of attendance money from players who fail to meet academic requirements or violate team rules.