Vick threw a 27-yard pass to Brent Celek and then scrambled 18 yards to set up Henery's 48-yard field goal late in the third that made it 13-10.
Hoping to establish the run early, the Eagles had no success giving the ball to McCoy in the first half.
But Philadelphia used a no-huddle offense to drive 70 yards on 11 plays for the only touchdown. The Eagles converted three third downs on the series, including Vick's 19-yard touchdown pass to DeSean Jackson on third-and-9.
Starting from their 13, the Giants moved 81 yards in 1:42 on the ensuing possession. Manning hit Hixon for 32 yards on the first play. The drive stalled at the 6 and Tynes kicked a 25-yard field goal.
Before the game, the Eagles retired the No. 20 worn by Brian Dawkins for 13 seasons from 1996-2008. The hard-hitting safety went to eight Pro Bowls and was a four-time All-Pro in 16 years with Philadelphia and Denver.
Dawkins, one of the most revered athletes to play in this sports-crazed city, sent the sellout crowd at the Linc into a frenzy when he ran out of the tunnel during pregame introductions. Wearing his green No. 20 Eagles jersey, Dawkins did his unique, crawling, gyrating entrance. He then joined the captains at midfield for the coin toss. Dawkins changed back into his navy blue pinstriped suit and led the crowd in signing "Fly! Eagles! Fly!" at halftime.