And he pulled away from marker Sami Hyypia magnificently to steer Stan Lazaridis' left-wing cross into Jerzy Dudek's net off the inside of his left-hand post.
Once more questions will be asked of England striker Michael Owen, who is clearly undergoing a confidence crisis in front of goal.
With Birmingham chasing the game in the dying stages, he wasted two clear chances to put the match out of reach.
Houllier said: 'It's deja vu. I feel sorry for the boys in terms of effort because they showed a lot out there.
'But they should have finished the game before the equaliser. It happened against Blackburn and it's happened against Newcastle. Those nine minutes at the end of games in which other teams have scored have cost us six points.
'We scored two good goals an when our strikers are able to score we will be awesome.
'We have deserved two wins from the last two games. But you need to go through adversity to appreciate success and we will bounce back.'
Danny Murphy hardly put a foot wrong all night and his 25th-minute free-kick that set the evening off on such a positive note, was an excellent example of the England man's current form.
His curling shot beat Birmingham keeper Nico Vaesen and went in off a post after Bryan Hughes had clambered all over El Hadji Diouf.
Just four minutes after the re-start, Liverpool extended their lead and the visitors had still not registered a shot on target.
Robbie Savage gave the ball away and Owen quickly switched play to Diouf who made 40 yards with City's defence back-pedalling in retreat. But they did not do so quickly enough to stop Steven Gerrard and the midfielder's first-time right-foot shot tore across Vaesen to extend the lead.
It took a slip in defence by left-back Djimi Traore to present Stern John with the chance to cross for Morrison to slam the ball home from close range.
Owen then had the opportunities to kill the game off, but failed miserably with the Kop doing its best to restore the striker's flagging spirits.
But then, to the wild jubilation of the travelling Birmingham faithful, Morrison managed what the England striker couldn't and diverted a 15-yard header past Dudek.
It was a goal that the 23-year-old will remember for a long time. And so too, you suspect, will Houllier.
