Gallacher went down after Christian Dailly flicked a header into the area.
After a nervous opening, Valon Behrami released the growing tension 11 minutes before the interval by bundling home Frederic Piquionne's header inside the area.
Adebayor fired wide when he latched on to Gareth Barry's header inside the area but, that chance aside, the home side were restricted to long-range efforts that did not trouble Maik Taylor.
But they were not to be denied and on 69 minutes John latched on to John Viafara's header, turned inside the area and shot low past the wrong-footed Kenny.
Sami Khedira's right-wing cross found Gomez free in the area and his powerful header across goal sneaked inside the post.
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But Becchio's header found Gradel unmarked in the Burnley area and the winger produced an emphatic finish to pull one back for the visitors.
They had numerous chances to wrap up an aggregate victory on their home patch, with substitute Collins Babajide going close with a header and two efforts from inside the area in the last 15 minutes.
The Reds were almost caught unawares when Burak Yilmaz stole in to win a corner to the near post but he could not get the direction to his header as the ball went harmlessly across the area.
Jocky Scott's men produced one of the highlights of the opening 45 minutes when midfielder Stevn Boyack sent in a delightlful cross into the penalty area only for forward Gavin Rae to direct his header wide of Leighton's post.
The winger, on loan from Southampton, rifled in the opener from just inside the area after Palace failed to clear Josh McQuoid's header.
Then just before the break a dangerous Cyprus free-kick found Alexandros Garpozis free in the Welsh area, only for the midfielder to put his strong header straight at Coyne.
With Evatt off the field following treatment, Elokobi found space on the left and whipped a cross into the danger area, and the Republic of Ireland striker crashed his header home.
Rangers responded with Shota Arveladze slashing a shot wide from edge of the penalty area and Ronald de Boer made a mess of a header at the back post from a Neil McCann delivery.
Gary Megson's side had earlier seen a header from Helguson sail over and Guthrie shoot wide when unmarked inside the area.
Kalou's cross sparked uncertainty in the six-yard area and Riise, in two minds, sent a spectacular flying header into the top corner at the Kop end.
Townsley flicked a header wide from a corner and Dave Arbuckle fired over from the angle of the penalty area for Arbroath.
First a fired-up Johnson looped a header just past the post, before Jerome was hauled down by Steve Gohouri just outside the area in the dying seconds of the half.
Stokes replied with a right-footed effort from the edge of the St Johnstone penalty area that Smith held well, then the Northern Ireland international missed with a close-range header from a Mark Wilson long-ball.
Jermaine Beckford flicked on a header to Howson, who spread ball to Freedman on the left flank before continuing his run into the Carlisle area.
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