It appeared as if York would be bringing an end to a run of seven games in all competitions without a win when David McGurk netted in the 64th minute.
But the lead lasted just six minutes as Morgan reacted quickest to Matt McClure's shot cannoning back off a post for a simple tap in to earn a draw.
Marvin McCoy fired just wide as Wycombe started confidently but York grew into the first half and Lanre Oyebanjo saw a 35-yard effort drift over in the 17th minute.
The second half burst into life as McGurk lost Kortney Hause at the back post from a Ryan Brobbel free-kick to head home before Morgan's awareness earned the Chairboys a point.
- Sports & Recreation
- David McGurk