It was the proverbial game of two halves, as summer signing Young netted her first two goals for the club before the break, but the hosts hit back in the second half to secure a share of the spoils.
The point keeps John Prince’s side top of the Northern Division table after two games, following Rovers’ 4-0 opening day win at home to Bradford.
In warm conditions, Rovers made a bright start, dominating possession for long periods and creating numerous chances in the first half.
The breakthrough arrived on 28 minutes when Katie Anderton played a superb through ball to Young, who finished emphatically past the Wolves keeper.
Rovers doubled their lead on the stroke of half-time when Young turned and smashed home her second of the game from 25 yards.
However, the momentum changed after the interval and Wolves took advantage. On 54 minutes, Dominique Luke rifled home from long range and 20 minutes later the comeback was complete when a ball was played in behind the Rovers defence and Danielle Selmes scored the rebound after Gemma Jackson had made the initial save.
Anderton almost won it for Rovers late on, but her audacious volleyed lob just cleared the bar.
Manager John Prince said: “Being 2-0 up away from home, we are obviously disappointed not to win the game. We will learn from that experience and will pick ourselves up ahead of a big game against Sheffield next weekend.
“Special mention to Vicky Westerman, who showed the tenacious and combative side to her game in centre midfield, despite nursing a broken thumb.”
ROVERS: Jackson, McLellan, Middleton, Twohig, Marsh, Westerman, Flynn (H. Forster 55), Young, Anderton, Makin, N. Forster (Savage 55).
Subs not used: Hart, Noori.