Cole (2), Sears, debutant Thomas Hitzlsperger and defender Winston Reid found the net against Burnley.
Spector saw a left-footed strike whistle just wide and Hitzlsperger's trademark 'hammer' was parried by Robinson.
Meanwhile, Germany international midfielder Thomas Hitzlsperger has completed his move from Stuttgart to Serie A side Lazio.
Those jeers turned to howls of joy when Hitzlsperger drew the hosts level with a stunning equaliser.
The hosts looked resigned to defeat until Hitzlsperger dragged them back into it with a stunning 20-yard strike.
Hitzlsperger, nicknamed Der Hammer, fired in a left-foot drive to give the London club the lead in the 23rd minute.
Villa substitute Thomas Hitzlsperger forced Taylor in action with a long-range strike late on - it was Villa's first shot on target of the afternoon.
The ever-threatening Boral fired a shot at Lehmann in the 71st minute before former Hitzlsperger saw his left-footed effort go just wide of the top corner.
Thomas Hitzlsperger nearly added insult to injury as he crashed a free-kick towards the Wales net, only for Hennessey to plunge full-stretch to push the ball away.
Thomas Hitzlsperger had the first shot with a ninth-minute free-kick, blocked by Deco, and the Stuttgart midfielder lashed another left-footed effort goalwards moments later which rippled Ricardo's side-netting.
Podolski then wasted a good chance for Germany when he was put clean through by Thomas Hitzlsperger, only for the Bayern Munich striker to blaze over with just Rustu to beat.
In the final five minutes the busy McGregor had to make saves from Stuttgart replacements Julian Schieber and Thomas Hitzlsperger, while the latter also saw a fierce shot headed away from goal by Davis.
The sour expressions of Hammers fans at the final whistle painted this result as two points dropped rather than one gained, although Hitzlsperger's leveller 12 minutes from time could yet prove vital in the east London side's survival fight.
That was not the end of the drama though as Germany showed their own determination by netting a last-gasp winner through Bayern Munich full-back Lahm, who raced into the area before being picked out by Hitzlsperger and kept his composure to fire past Rustu into the near top corner.
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