Zimbabwe made 144 with captain Craig Ervine top scoring on 42 and Ireland knocked off the runs with two balls to spare, setting up a series decider on Sunday
On the second ball of the 13th over, Young drove a half-volley for a quick single but Curtis Campher's brilliance cut his innings short.
Chasing 361-run target, Ireland needed 10 runs in the final over but New Zealand's Blair Tickner conceded eight runs in it.
New Zealand needed 20 runs off the last over but Michael Bracewell took only five balls to help the side win the game against Ireland.
Michael Bracewell's unbeaten century guided New Zealand to a dramatic one-wicket win, with just a ball to spare, in the first one-day international against Ireland on Sunday
Ireland vs India: Ireland nearly pulled off an upset for the ages as they took the 2nd T20I against India to the very last delivery, despite having to chase a mammoth target of 226.
India vs Ireland: India won the first match easily with Yuzvendra Chahal and Deepak Hooda shining with ball and bat respectively.
Harry Tector scored unbeaten 64 off 33 balls to guide Ireland to 108/4 in the rain-curtailed first T20I against India.
Ireland put up a spirted fight but India proved too strong for the home team to win the rain-hit opening T20I by seven wickets in Malahide
WI vs IRE: McBrine took his total of wickets in the three matches to 10 as the West Indies were all out for 212 in 44.4 overs at Sabina Park.