The Oswesty side went behind after 19 minutes after an own goal by Luke Douglas but only seven minutes later, the score was level again after Quigley converted his shot from inside the box.
The New Saints who are preparing for their UEFA Champions League Second Qualifying Round match with Legia Warsaw, fielded a young side. The Saints will travel to Beflast on Friday to prepare for the game against Cliftonville on Saturday.
The New Saints starting line up was Chris Mullock, Luke Douglas, Adam Davies, Aaron Simms, Jordan Wells, Ryan Kershaw, Scott Quigley, Scott Ruscoe, Ryan Jones, Ben Richards and Francisco Rowlands.
On the bench were Ryan Edkins, Ben Richards, Fisnik Hajdari, Taylor James, Pablo Carney and Ryan Pryce.