Hemsky streaked in on the right wing, took a feed from Jarret Stoll and proceeded to wrist the puck short side low on Jean-Sebastien Giguere.
After the goal, the building erupted and proceeded to give the club a standing ovation through the game's final 30 seconds.
Dwayne Roloson came up with a huge stop in the opening few minutes of the game, kicking out a pad to deny Joffrey Lupul on a wrister from the slot.
Coming back the other way, Ethan Moreau scored to give Edmonton a 1-0 lead on their third shot of the game. Moreau's wrister from the right circle beat Giguere blocker side.
The first penalty of the game came after Jarret Stoll hooked down Jeff Friesen after Rob Niedermayer set him up with the puck in the slot on a two on one.
Anaheim carried the territorial advantage on the ensuing power play but were unable to muster a decent scoring chance.
Moreau had a chance to double Edmonton's lead with 6:38 to play. After breaking toward the Anaheim goal, Pisani threaded a pass to his stick but Moreau's backhand was stopped by Giguere.
The Oilers looked like they were going to head into the first intermission up by a goal but Andy McDonald's wrister from the left point beat Roloson glove side to tie the game.
Just over a minute later, Dick Tarnstrom fired one on Giguere that trickled through the Ducks netminder's pads. However, the Anaheim defencemen were able to corral the puck before it got dangerous.
After one, shots on goal were 10-6 for Edmonton.
Edmonton had the best scoring chance in the opening five minutes of the second, barrelling toward the goal to pick up a rebound. Giguere was equal to the task in making the save.
At the other end, Roloson made a big shoulder stop off Friesen three minutes later after the Ducks winger tried to pick the corner.
Just past the midway point, Torres found Dvorak with a cross-ice pass. Dvorak tried to go five-hole but Giguere made a nice save after sliding across his crease.
With the Oilers on the penalty kill, Roloson made a brilliant glove save off Lupul flashing the leather to take away what looked to be a sure goal.
Anaheim finally took its first two penalties of the game when Lupul was sent off at 12:24 and Salei at 14:18. The Oilers generated a lot of chances with the man advantage but couldn't solve Giguere during what amounted to a three-minute power play.
After a scoreless second period, the Oilers still had the shot advantage at 21-19.
Eight minutes into the third, Ryan Smyth
almost broke the deadlock. Chris Pronger blasted a shot on net and as Smyth attempted to backhand the rebound past Giguere, he was upended by Scott Niedermayer and couldn't get enough wood on the puck to slide it past the Ducks netminder.
Roloson wasn't too busy in the early part of the third with shots 7-2 for Edmonton but he was good when tested. Samuel Pahlsson tried to sneak one five-hole on him on a partial break but was denied.
With 8:30 to go, Chris Kunitz clipped Pronger with a high stick to give Edmonton a four-minute power play.
On the ensuing power play, the club peppered six shots at Giguere but couldn't get one past the Ducks goaltender.
With time ticking down in the period, hard work and perseverence by Ethan Moreau and Fernando Pisani down low in the Anaheim zone created a pair of scoring chances. Moreau almost wristed one past Giguere and Pisani spun around to create an opportunity out of nothing from the slot.
Two of Detroit's top scouts, Dave Lewis and Bob McCammon, took in the game to do some pre-scouting on a potential first-round opponent... Georges Laraque drew back into the lineup as Marc-Antoine Pouliot was a healthy scratch...