Murray put the Eagles in position with a 20-yard run on the first possession of the extra period, and Matthews' score sent the Cowboys to their longest losing streak in 26 years with a 33-27 Philadelphia victory Sunday night.
"It was electrifying," said Murray, who broke Emmitt Smith's Dallas franchise record with an NFL-best 1,845 yards rushing last season and is starting to churn out yardage after a slow start this year. "They're like family to me. I wish those guys nothing but the best.
"This one's special. A lot of emotion."
Jordan Hicks had a 67-yard interception return for a touchdown for the Eagles (4-4).
Murray had his most productive game in Philadelphia, finishing 161 total yards — 83 rushing with a 1-yard score and 78 receiving. He had a 44-yard catch on a 95-yard drive for the Eagles' first lead at 14-7 on their opening possession of the second half.
"I'm sure he had a little more fire in his belly tonight, but we knew this was a big game for us," Bradford said. "Coming off the bye week, a divisional game on the road, we needed this one."
Dallas (2-6) lost its sixth straight — all without quarterback Tony Romo — despite Dez Bryant's first touchdown catch of the season in his second game after missing five with a broken right foot. The Cowboys dropped their first eight in 1989, when they finished 1-15 the year Jones bought the team.
The defending NFC East champion Cowboys are two losses behind the division-leading New York Giants (5-4), who beat Tampa Bay 32-18.
"We can add and subtract," Jones said. "We all know the job we have ahead of us."
Things to consider after just the second overtime game in 114 meetings between these division rivals:
THE OT: It was the second time during the skid that Dallas lost by giving up a touchdown to start overtime. New Orleans' Drew Brees threw an 80-yard touchdown pass on the second play of the extra period in Week 4.
This time, Murray had a 20-yard run to get the drive going. Bradford's winning toss on his 28th birthday came a play after officials originally ruled a fumble at the end of a run by Ryan Mathews. But replays showed his knee was down before the ball came out.
"Jordan did a great job running that route," said Bradford, who threw for 295 yards. "It was something that we worked on all week. Best birthday present ever."
Greg Hardy: Dallas defensive end Greg Hardy had a sack and two penalties, including an unsportsmanlike conduct call, a day after he tweeted "regret" in response to the release of pictures of his bruised ex-girlfriend from his domestic violence case.
"Greg has a commitment to us," Jones said. "He has a commitment to do the right thing. We expect him to do the right thing."
Hardy wasn't available in the locker room after the game.
HICKS PICK: Cowboys quarterback Matt Cassel threw for 299 yards and three touchdowns, including an 18-yarder to Bryant in the end zone when he threw up a jump ball after a Romo-like spin out a potential sack. But the big mistake to Hicks left him with the same 0-3 record Brandon Weeden had filling in for Romo.
Hicks stepped in front of a pass in the flat for Darren McFadden and sprinted 67 yards untouched. Cassel hung his head as he slowed up, realizing he had no chance to catch the former Texas linebacker.
It was the 20th takeaway for the Eagles, who went into the game leading the NFL, and it extended their streak with at least one to 14 games.
DEZ AND COLE: Bryant had 104 yards on five catches, and Cole Beasley had career highs with nine catches for 112 yards with two touchdowns, which matched his total from a win against Chicago last year.
DOUBLE WHAMMY: Dallas lost linebackers Sean Lee (concussion) and Anthony Hitchens (ankle) on Philadelphia's 95-yard drive. Lee went out after tackling Murray on a short pass on the first play, and Hitchens was injured on Mathews' 6-yard scoring run.
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