ORCHARD PARK, N.Y. - Drake Maye hit Efton Chism III, who made a one-handed touchdown catch with under two minutes remaining, and the defense got a late interception of Josh Allen as the New England Patriots (2-2) held on to upset the Buffalo Bills 29-26 on Sunday at Highmark Stadium. Maye, who entered the game with the most turnovers in the NFL (six interceptions, one fumble lost), had two more against the Bills but was much better with his decision-making, finishing 22-for-37 for 269 yards and three touchdowns. Maye also added a team-high 54 yards on the ground, including several vital scrambles for first downs. "This gets us back in the race," Patriots coach Mike Vrabel said after the game. The Bills (3-1) trailed for much of the game, but their defense held tough in the second half as Allen brought them back. Allen ended up 23-for-33 passing for 253 yards and a touchdown pass to Keon Coleman (six receptions for 116 yards). Allen added a 2-yard touchdown on the ground, which set a Bills record for most touchdowns from scrimmage in franchise history (88). The Bills had been 20-2 in their past 22 home games, but the Patriots' late comeback keeps them in a good spot in a now much closer AFC East race. Box score | NFL Week 4 live blog | Game discussion After three poor performances to start the season, how did Maye bounce back in Buffalo? One week after Maye finished the Jaguars game on the bench following three turnovers, the Patriots quarterback bounced back impressively, tossing three touchdowns, including the game-winner to Chism to conclude an efficient drive. The Pats got the ball back trailing by five with just over four minutes remaining, and Maye led them on a great, eight-play, 73-yard go-ahead drive. Too often this season, Maye has collapsed under pressure, making bad throws and bad decisions as defenders bear down on him. On the game-winning pass, however, the Bills sent an all-out blitz and had free runners forcing Maye to scramble to his right. On the run, he lofted a perfect 23-yard pass into the end zone that Chism reeled in with one hand. The turnovers are something Maye still needs to improve on. The completion percentage can be cleaned up. Still, this one wasn't about gaudy numbers. This was about steadying the ship after a nightmare start to the season and leading a game-winning drive in Buffalo against your rival. It's hard to have a better bounce-back than that. - Chad Graff Maxwell Hairston struggled in the Bills' banged-up secondary. What did you make of the defense's performance, and what will it mean going forward? Over the first three weeks, the Bills had their top boundary cornerback Christian Benford available, and he took on the top assignment of each opponent. While it led to some negative moments because of the caliber of receiver he guarded, it also helped take something off the plate of Hairston, whose film showed struggles. Still, because he wasn't the first read - or because defensive linemen got to the quarterback - many of those reps went without punishment. Sunday, without Benford, there was no buffer for Hairston, and he struggled in a major way. The Patriots relentlessly targeted him throughout the game, and many of their most successful passing plays went his way. One play in one-on-one coverage saw Romeo Doubs beat him down the sideline but drop the deep ball. Opposite him was rookie cornerback Davison Igbinosun, who also had his struggles, though they were less pronounced. However, Igbinosun gave up the game-winning touchdown. Underscoring all of this was that the Bills' nickel situation became dire, with both starter Dee Alford and backup Te'Cory Couch having to exit Sunday because of injury, which left safety Damar Hamlin to man the interior receiver. This was the exact recipe for Maye to get back to how he played last year. Now the Bills will need to hope they get Benford back sooner rather than later, with a lot of questions at cornerback and a Rams team up next that boasts perhaps the best receiving duo in the league. - Joe Buscaglia Doubs' up-and-down season continued. Can he be a reliable receiving option until A.J. Brown returns? It hasn't been the smoothest start to Doubs' Patriots tenure, and the roller coaster continued for Doubs against the Bills. A second-quarter mishap was overshadowed by two big touchdown catches, and Doubs may be finding his stride as New England continues to search for answers without Brown. The trouble occurred at the end of the first half when Doubs dove for a low pass. He got his hands underneath the ball and almost made a brilliant catch, but as he rolled, the ball popped into the air and was caught by Alford, who returned the interception 37 yards. Doubs made amends, however, with an impressive one-handed grab in the end zone to give the Patriots a 21-17 lead in the third quarter, his second score of the game. Those were his first two touchdowns with the franchise after signing a four-year, $68 million contract in March. After going catchless in the season opener, Doubs has 203 yards over his past three games. - Graff The Bills have been waiting for Coleman to break out, and he did on Sunday, despite the loss. What does it mean for the offense? Coleman, the receiver whom Bills owner Terry Pegula said football boss Brandon Beane didn't even want, almost came to the team's rescue. After an awkward offseason, Coleman put together a solid start through three games, and with wideout D.J. Moore sidelined with a shoulder injury and tight end Dalton Kincaid blanked from the stat sheet, Coleman came through with six catches for 116 yards and the go-ahead touchdown with 4:27 to play. For the second week in a row, Bills coach Joe Brady's high-octane offense spent most of the game scrounging for yards. With 47 seconds left in the third quarter, as the Bills began their ninth possession, James Cook, Kincaid and Moore had combined for just 37 yards. Cook, last year's NFL rushing king, had seven carries for 18 yards at that time. Cook found traction in the fourth quarter, but Coleman came up biggest. Allen increasingly targeted Coleman, who made a spectacular, bobbling catch along the left sideline for 22 yards to set up a Tyler Bass field goal. On the next drive, Allen connected with Coleman for a 34-yard score. Coleman entered Sunday with eight receptions for 101 yards and no touchdowns, though he secured an onside kick to close out a Week 2 victory over the Lions. - Tim Graham What's going on with the Patriots' running game? Rhamondre Stevenson was the better of the Patriots' two running backs Sunday, but struggles persisted in that phase of the game. Still, it's noteworthy that Stevenson could take over a larger role in the backfield after better production than TreVeyon Henderson. Henderson gained 11 yards on a reverse, but he mostly struggled running between the tackles. It wouldn't be a shock if Stevenson gets a majority of the running back carries going forward. Stevenson finished the game with 74 yards of offense on 16 touches, while Henderson managed 42 yards on 14 touches. Despite progress from Stevenson, the running game still wasn't exactly potent. At the end of the third quarter, with the Patriots facing second-and-2, they went with a Stevenson rush to the left that gained only 1 yard. On the next play, they went with the same idea, and Stevenson lost a yard, forcing a punt. In the fourth quarter, with a chance to ice the game, the Pats had a run up the middle get blown up for a loss of 5, turning second-and-short into third-and-long. - Graff