The Stars reeled off six unanswered goals, and evened their Western Conference quarterfinal series at one game apiece.
The Oilers maintained their composure throughout a surprise 2-1 victory in the series opener, and got a lucky bounce to grab the early lead in Game Two.
A slap shot by Eric Brewer from the center of the blue line went wide, but it hit the backboards and bounced in front to Marty Reasoner, whose shot ricocheted off the stick of goaltender Marty Turco to make it 1-0 at 6:34 of the first.
The Oilers then self-destructed, giving the Stars five power plays in the opening 20 minutes, including a pair of 5-on-3s. Dallas took full advantage, scoring three goals in the last 10 minutes of the period, including two power-play tallies.
The Oilers spent most of the game shorthanded as the Stars had an amazing 14 power plays, cashing in three of them. The Oilers were 1-for-7 with the man advantage.
The Stars converted their first 5-on-3 as Sergei Zubov snapped a wrist shot from inside the blue line that beat Tommy Salo with 9:57 left in the first.
Dallas cashed in another power play to take the lead for good.
Darryl Sydor faked a shot from the left circle, then passed in the slot to Young, who scored on a one-timer with 5:48 remaining.
The Oilers gave up another goal with just 50 seconds left in the first as Young's slap shot from the right circle hit the far post before deflecting into the net to make it 3-1.