Tim Stutzle
had two goals and two assists, Brady Tkachuk had three assists, and Anton Forsberg made 37 saves for the Senators (32-41-7), who have won a season-high four straight.
"We didn't play a great game today," Stutzle said. "I think it was pretty solid, but we could have played way better. And at the end, well, what a goal by Drake to get us the win."
Nolan Foote scored twice, and Pavel Zacha had a goal and an assist for the Devils (27-44-9), who have lost four in a row (0-2-2). Blackwood made 29 saves in his first start since Jan. 19.
"You don't know what to expect. It's been a long, tough road for him," New Jersey coach Lindy Ruff said. "There's times he looked real comfortable, and there's times that, you know, when you get back into game situations it's a lot different than practice. And as a team, we haven't had many high-intensity practices, so for him to face different kinds of shots, and deal with some of the mistakes we made … I think for him, there's a lot of times he moved well and read plays really well."
Blackwood missed 41 games with a foot injury.
"Some good things, some bad things," Blackwood said of his performance. "For having three months off, there wasn't a lot of practice. My foot's feeling better. Obviously, some things, like in game time and practice, that I can sharpen up. Overall, for my first one back in so long, it was all right."
Thomas Chabot gave the Senators a 1-0 lead with 17 seconds remaining in the first period on a tic-tac-toe passing play on the power play. Tkachuk took a pass down low from Stutzle and found Chabot across the crease for the tap-in.
Batherson made it 2-0 11 seconds into the second period when he took a centering pass from Tkachuk and beat Blackwood with a wrist shot glove side.
"The puck just seemed to be finding me," Batherson said. "I had a couple of good scoring chances early. The puck was coming to me. I just felt good tonight. I think our whole line, our legs were there tonight and we were creating all night, so it was fun to get the win and make it four in a row."