Niklas Bendtner pulled the scores level and substitute Cameron Jerome grabbed a late winner, although the visitors still needed Doyle's heroics to secure victory.
Wolves started fiercely and had a shout for a penalty inside the first 30 seconds when Seyi Olofinjana went down just inside the area, but referee Graham Laws was unmoved.
In the 21st minute, Michael Kightly worked his way into the area only to scuff his shot, Olofinjana heading the follow-up wide.
Four minutes later, Jay Bothroyd's cross was only cleared as far as McIndoe, who shot into the side-netting, before Matt Murray saved from Gary McSheffrey.
Blues fans must have wondered how they were not 1-0 up on the half-hour mark, when Stephen Clemence's flick hit the bar and the rebound trickled wide.
Both crowds were urging their sides on and, after Cole had seen his shot edge wide, McIndoe and Kightly were denied by Doyle before McSheffrey's squared ball was just behind the onrushing strikers.
Stephen Kelly's 54th-minute free-kick was punted long into the box, flicked on by Bendtner, and Cole tapped it over Murray as the keeper went to ground.
Kightly, who had been a constant menace down the right flank, beat the full-back and swung in a cross from the byline which McIndoe rose highest to head off the post and in.
A carbon copy goal four minutes later then put Wolves in front, Keogh this time crossing from the right side of the area and McIndoe leaping unmarked to head past a stationary Doyle.
In the 77th minute, the Blues equalised against the run of play when McSheffrey sent in a corner from the right and Bendtner powered the ball into the net.
Wolves responded immediately and Keogh fired a shot from the edge of the area fractionally wide, but again they were hit on the break.
Jerome, on as a substitute for Cole, beat the offside trap to latch on to a long ball and ignored his on-rushing team-mates to slot home from a tight angle.
But there was more drama to come as, in the first minute of stoppage-time, Radhi Jaidi was harshly adjudged to have felled Neill Collins inside the area and the referee pointed to the spot. Copyright 2007 ESPN Internet Ventures. , and are applicable to you.
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