"Hammer (Dan Hamhuis) made a great play coming down the wall and he threw it on the net," Hodgson said. "(Mikael) Samuelson pulled the guys high and I was just fortunate to get a stick on it."
Cam Atkinson scored his first NHL goal and Vinny Prospal also scored for Columbus, which had opened seasons 0-2 twice before.
The Blue Jackets were 0-for-5 on the power play and are now 0-for-16 with a man advantage on the season.
The Blue Jackets took a 2-1 lead late in the second period. After both teams had missed out on numerous scoring chances, the goal came on a relatively innocuous play. Rick Nash chased the puck into the corner, bracketed by defensemen Dan Hamhuis and Kevin Bieksa. But Nash flicked the puck along the end boards to Prospal, whose wraparound attempt somehow squirted between the goal post and left skate blade of Schneider.
"On defense, I thought that was our best game," Jackets defenseman Marc Methot said. "It doesn't really mean a whole lot. We lost. Our special teams are struggling a little bit. The coaches are preaching, we've just got to start delivering."
Columbus had a chance to add to the lead early in the third.
The Blue Jackets were swarming the net when Vancouver defenseman Christopher Tanev fell on a puck loose in the crease and grabbed it with his right glove while knocking the goal cage off its moorings. A video review confirmed the on-ice decision of the officials to award Columbus a penalty shot, but Schneider got a piece of rookie Maksim Mayorov's attempt.
"I was just trying to go top corner," Mayorov said. "I just didn't score."
"I know he's a pretty skilled player," said Schneider, who had 23 saves. "I played against him in the American (Hockey) League. He's not your typical third-liner, so he has some skill. When he comes in that way, he looks low blocker. At the last second I saw him open up for high glove and fortunately I got a piece of it with my arm."
Moments later, it was tied when Hamhuis fired a pass from the left corner near the goal line that was redirected by Hodgson.
Shortly after Columbus' Grant Clitsome went to the penalty box for a high stick, the Canucks picked up the lead goal.
Daniel Sedin tossed the puck from the right boards to Burrows at the net, and he made a quick turnaround while controlling the puck. Steve Mason, who had 22 saves, stopped the first shot but Burrows tapped in the rebound.
"I was just able to get my stick open and Danny made a good play," Burrows said. "I was trying to take it to the net for a scramble. I got the rebound and I was able to put it in."
Schneider made several big saves, stopping Jeff Carter early in the game and then blocking a Nash shot, also in the first period, after he had muscled in on a rush.
"Schneids was good," Vancouver coach Alain Vigneault said. "He kept us in it. He made a big save on that penalty shot. It gave us a chance to come back and win the game."
The Blue Jackets dominated play in the first period, yet came out tied 1-1. They had 11 of the 13 shots.
Atkinson opened the scoring midway through the period, notching his first after some down-and-dirty work by Matt Calvert, who had a takeaway in the offensive zone. Derek Mackenzie came up with the puck and, from the right boards, flipped the puck blind to the slot where Atkinson converted.
Columbus had failed to find the net with 22 seconds of a two-man advantage earlier.
"We weren't demoralized at all," Blue Jackets coach Scott Arniel said. "I think, more than anything, that was three games in four nights for us. We had nothing left in the tank in the third period. You're playing a team that's played one game. They flew in here Saturday and were kind of sitting, waiting for us. They're a veteran team … they know what to do when they see a team tired."
Vancouver drew even with 4 1/2 minutes left in the period on its second shot of the first 20 minutes. Jannik Hansen's shot was redirected by Higgins.
Material from wire services and team media was used in this report.