Batherson one-timed
Tim Stutzle
's cross-ice backhand pass on the power play to make it 3-1 at 5:00 of the second.
"It was unbelievable," Batherson said of Stutzle's pass. "I was just hanging on the backside there, and there was, like, three sticks. I didn't expect it to come on my tape. Next thing you know, backhand sauce, landed it right on my tape, I had the open cage and fired it in. I just didn't even want to celebrate. I wanted him to celebrate how nice the pass was."
Batherson scored his second goal 53 seconds later when he chopped in the rebound of a Christian Wolanin shot to make it 4-1 at 5:53.
Ilya Mikheyev scored for Toronto at 10:01 of the third period, but Smith challenged for goaltender interference by Pierre Engvall, and the goal was overturned after video review.
Hyman one-timed a centering pass from William Nylander to cut it to 4-2 at 14:40 of the third with Andersen pulled for the extra attacker.
Tavares scored on a rebound with the extra attacker to get the Maple Leafs within 4-3 with 2:12 remaining.
"They made it difficult, they made it hard," Daccord said. "But I always knew my first NHL win would be an absolute battle, so I was prepared. I knew that they were going to give a push. Bend, don't break."
The Maple Leafs will not play again until Friday, when they host the Calgary Flames.
"We've been playing a lot of hockey lately," Matthews said. "I think it'll just be nice to kind of reset and regroup as a team."
NOTES: Smith did not have an update on Murray after the game. ... The Senators recalled Kevin Mandolese from the taxi squad on an emergency basis to back up Daccord. The 20-year-old has never played an NHL game.