Storey, who was recalled to the side in place of Dominic Iorfa for the trip to the University of Bolton stadium, poked the ball over the line from a second-half corner to give the visitors the lead in front of more than 5,000 ecstatic travelling fans.
But defender MJ Williams fired home from a corner kick at the other end in added time to deny Darren Moore’s side all three points in Lancashire.
Wednesday remain fifth in League One, level on points with the two sides below them.
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13. Saido Berahino - 6
Thrown on with 30 minutes to play but unable to help Wednesday close out the win once they went in front. Photo: Steve Ellis
14. Callum Paterson - 6
Also introduced with half an hour to go but struggled to influence proceedings. Photo: Steve Ellis
4 / 4