Frankie Bunn's side fell behind to an Andy Keogh in the first half but levelled through a Robbie Simpson penalty on the hour mark.
Eight minutes from time, Wolves sub Mark Salmon scored to give Wolves the win.
City
Quirke, Wright (Clarke), Borrowdale, Turner, Hall, Cain (Jeffers), Walker, Fraser, Birchall, West (Hollist), Simpson.
Wolves: Hennessey, Melbourne, Collins, Friend, Hill, Gray (Salmon), Potter, D Edwards, Agyemang-Badu, Keogh (Hughes), Vokes.