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.
SEC Network's Summer Tour stops by Baton Rouge to visit with Les Miles and the Tigers.
Three-time NFL MVP quarterback Brett Farve shares his stories of coaching high school football at the LSU Coaches Clinic.
SEC Network looks back at the highs and lows of Tigers' season.
Baylor has released five signees from its 17th-ranked recruiting class, including J.P. Urquidez, Kameron Martin, Donovan Duvernay and Patrick Hudson. Sources said the others was Parrish Cobb.
ESPN's Jared Shanker and Matt Fortuna join The Paul Finebaum Show to break down the Week One showdown between Ole Miss and Florida State.
Gary Shelton of the Saint Peters Blog joins The Paul Finebaum Show to discuss the renewed energy of Florida football programs.