Things couldn't have started better for Nicky Spooner's side, with them grabbing the lead after just a minute of play into the first half.
Luca Connell broke down the left side of the pitch, producing a brilliant cross for Sonny Graham to slot home to open the scoring.
It was nearly a second for the Whites soon after, with both Callum King-Harmes and Matty Argent-Barnes going close for the home side.
Wednesday came back into it soon after with a chance of their own, but Richards was on hand to make a heroic goal-line clearance after a defensive lapse on Wanderers' part.
Moving into the second half and Connell started exactly the same as the first, with a powerful sprint down the left wing, running the Wednesday right back ragged.
He beat his man and smashed the ball across the box for King-Harmes to tap home the second.
The away side began to show signs of getting back into the game, and were rewarded just after the hour mark following a positive passage of play from them.
With momentum on their side, the opponents found their equaliser following an error at the back from Bolton.
With the game in the balance, both teams looked to try and find the winning goal, but both were unable to find that bit of magic to secure all three points.
Wanderers XI: Alexander, Whalley, Preston, Smith, Senior, Richards, Graham, Connell, King-Harmes, Darcy, Barnes
Substitutes: Sterling, James, Osigwe, White, Edmundson