A late Jay Bothroyd header salvaged a point for The Sky Blues after French keeper Fabien Debec secured his place in the shot stoppers hall of shame.
Even Evans was embarrassed to claim a 25th minute strike after his 30-yard right-footer squeezed under the luckless Debec but the keepers blushes were saved by Bothroyd who nodded home Gary McSheffrey's left-wing cross with just seven minutes remaining.
Debec's gift was deserved reward for Bradford's enterprising start and they looked to maintain the unbeaten home record and they almost doubled their advantage a minute before the break.
Striker Danny Cadamarteri played the ball off to winger Andy Gray but this time Debec did enough to push away his first-time shot and team-mate Gary Caldwell cleared the danger.
Despite the promptings of player manager Gary McAllister the visitors struggled to break down Bradford's determined defence and even when highly rated McSheffrey did get a shot away six minutes before the interval keeper Aidan Davison denied him with a good block.
McAllister threw on Bradford old boy Lee Mills at the start of the second period and Davison did well again to get a hand to a McSheffrey cut-back soon after.
Cadamarteri wasted a good chance to extend Bradford's lead after 55 minutes when Debec could only push out a fierce Evans strike but Cadamarteri fired wide from six yards out.
On-loan keeper Steve Banks was called into action to replace the injured Davison after 67 minutes and he had to survive a few scares before Bothroyd finally grabbed the equaliser.
McSheffrey wriggled his way past Bradford centre-half Robert Molenaar before clipping over a perfect cross for the Sky Blues target man to head home easily from just four yards out