Murray carried eight times for 26 yards on the 15-play, 73-yard drive that took 8:47 and resulted in a 25-yard field goal by Dan Bailey that pulled the Cowboys within 23-17.
Then the defense finally made a play after allowing scoring drives on 13 of its last 14 second-half possessions. Orlando Scandrick deflected a third-down pass, forcing a punt.
All Romo needed to do was drive the Cowboys 85 yards in 3:39 and his fourth-quarter interception against Green Bay would be forgotten. A gimpy Romo, who tweaked his back in the first half, needed only six plays to move to the Washington 1.
On third-and-goal from the 1, Murray headed off left guard. Washington stuffed the play and Murray tried to reverse field. You can't do that at the goal line with the season on the line.
Washington tackled him for a 9-yard loss, setting up fourth-and-goal from the 10.
Romo found Murray in the right flat, and the running back maneuvered his way into the corner of the end zone, igniting a wild celebration on the Cowboys' sideline. Bailey's extra point gave the Cowboys a one-point lead.
After the game, Garrett wanted to talk about his club's mental toughness and its resolve. The Cowboys are 5-0 in the NFC East, and if they beat Philadelphia, they'll win their first division title since 2009.
If that happens, the players will put on commemorative T-shirts and hats and bask in the glory of their triumph. No one will care that about the NFC East being one of the league's worst divisions.
"A core group of us have been in this situation a couple of times before, and we've come up short," Witten said. "It doesn't mean the third time is the charm. We have to exhaust ourselves in our preparation this week and then come out and play our best football.''
If the Cowboys can do that, Witten and Garrett will share another long hug Sunday.