CALGARY, Alberta (Ticker) -- The Calgary Flames discovered a new No. 1 line, then almost discovered a way to blow a four-goal lead.
Conroy scored two goals and set up another, Lowry chipped in a goal and two assists and Iginla collected three assists.
"'Pie' played great," Conroy said of Lowry, an 18-year veteran who was recalled from the minors Wednesday. "He's in the right spot at the right time, he goes to the net hard and he makes nice passes. It's nice to see him back and doing well - two games and four points is a great reason he probably should have been here all year."
Chris Drury added his 10th goal midway through the second period and Calgary appeared to be cruising to its most lopsided win of the season against its most hated rival.
The Flames gathered themselves and evened the season series at one win apiece.
"They get one and I think our nerves got to us a little bit," said Conroy, Calgary's captain. "Then it's another one, but in the end we won. But we have to learn from that. We can't play 45 or 50 good minutes and then take 10 off because that's what happens."
"Tonight we look at it as a positive that we were able to persevere and come back and take a game that was 4-0 at one point and make it 4-3," Edmonton's Todd Marchant said. "It just goes to show you that we are capable of coming back. If we can continue to do that and be rewarded, that would be great."
The Oilers failed to secure a point for just the second time in 10 games (5-2-1-2), with three of the four defeats coming by one goal.
Conroy got the Flames going early, bunting a waist-high rebound past goaltender Tommy Salo just 70 seconds into the first period.
Lowry scored his first NHL goal since January 22, 2002 at 8:50 when he got to a rebound of Iginla's wrist shot from the slot and poked it by Salo.
"I think I have to give a lot of credit to the guys I've been playing with since I came back," said Lowry, who served as Calgary's captain for parts of two seasons before his demotion. "I think if you do the simple things with those guys, you're going to get opportunities. Tonight I was fortunate enough to be rewarded."
Conroy capped his first two-goal game of the season at 8:18 of the second period, wristing a shot from the left faceoff dot past Salo's glove.
Just over three minutes later, Drury rifled a slap shot from the top of the right circle through the pads of Salo, who was replaced by Jussi Markkanen to start the third period.
Turek stopped all 16 shots over the first two periods but was beaten on a backhander by Swanson at 13:22 of the third.
Reasoner skated out of the right corner and wristed a shot from the faceoff dot under Turek's glove three minutes later for his eighth goal. York's goal came on a shot from the right circle that appeared to get a piece of Lowry and sneaked inside the far goalpost.
"Well, we played a great 55 minutes," Flames coach Darryl Sutter said. "We won the game. If you guys (in the media) want to beat them up, you beat them up. If you can find negatives, go ahead."