After Baner's first field goal, Bucknell (1-1) tied the game at 3-3 behind a 21-yard field goal from Sean Cobelli. But the Blue Hens went on to score 16 unanswered points over the final three quarters.
Baner connected from 41, 32, 21, and 20 yards, and his extra point kick following Hurley's touchdown gave Delaware a 16-3 third quarter lead. The first team All-Colonial Athletic Association selection is a perfect 40 for 40 all-time in extra point attempts and has converted 12 straight field goals dating back to last season.
Hurley finished with 56 yards on the ground. Andrew Pierce paced the Blue Hens rushing attack with 101 yards on 22 carries.
Delaware has won six-straight games and registered a 3-0 start for only the second time since 2007.
Miami has lost running back Gus Edwards for the entire season because of a left foot injury.
Virginia Tech will wear a decal on its helmets against No. 1 Ohio State on Monday night to honor slain Roanoke television journalists Alison Parker and Adam Ward.
South Carolina football players will wear stickers on their helmets this season to honor the nine people who died in a shooting at Emanuel AME Church in Charleston this past June.
Washington has found its starting quarterback, but coach Chris Petersen said the Huskies will keep that information under wraps until Friday's season opener at No. 23 Boise State.
Joey Counts scored on a 1-yard run on fourth-and-goal with 2 seconds left to give Montana a 38-35 victory over four-time defending FCS champion North Dakota State on Saturday.
Transfer Vernon Adams will be the starting quarterback when Oregon begins its season against Eastern Washington on Sept. 5.