Shire began playing some attractive football which unfortunately lacked punch infront of goal and Rovers always looked the likelier side.
A slip by Andy Smith early on allowed Martin McBride a free shot at goal but he put his finish straight at the keeper. Jamie Doyle hit the post from a pass from Bryan Felvus and Joe Savage had a shot blocked by Smith.
Shire came close once when a Brand cross found Ward at the near post but a brilliant block from Ciaran Donnelly saved the day.
The second half gradually turned the visitors way and Tiropoulos kept his side in the match by turning a Gordon Lennon header over the bar.
It was at the beginning of a spell of Rovers pressure which eventually produced the goal. Lennon was again involved in the build up when he intercepted a poor clearance outside the Shire box before giving Scott Chaplain the clearest of openings to thump the ball high into the net as Tiropoulos came out to close him down.