Wilkin launched a neat kick which Gidley latched onto to score his fifth try of 2009.
Andrews added another Hornets try before Maurie Fa'asavalu and Wilkin finished off the try-scoring.
Gleeson completed his hat-trick with Jon Wilkin, Danny McGuire and Paul Wellens also scoring.
Vinnie Anderson opened the scoring before Jon Wilkin pounced on defensive dithering to level for Saints.
"Just being around him in training has lifted the enthusiasm of everybody else, " said Wilkin.
At the statue, the Reverend Rose Hudson-Wilkin, chaplain to the Commons speaker, led a short service.
Gaskell pounced from Jon Wilkin's high kick for another try and Eastmond darted over at the corner.
Two tries from Jon Wilkin further compounded the visitors' misery, while Gareth Ellis scored a consolation try.
Jon Wilkin felt that Saints had not been at their best but said they deserved their victory.
Wilkin has also rejected the suggestion that Fa'asavalu's call-up reflects badly on the state of the British game.
Pryce continued the onslaught after the break, racing through after an interception from Jon Wilkin on 49 minutes.
Saints led 30-0 at the break with tries from Chris Flannery, Jon Wilkin, James Roby, James Graham and Paul Clough.
Without the injured Kyle Eastmond, as expected, Matty Smith took over at scrum-half for Saints, with Jon Wilkin at stand-off.
Wilkin says Fa'asavalu, who has spent four seasons with Saints, has already had a positive influence on the Lions squad.
Saints went into the games without the likes of Paul Wellens, Matt Gidley, Sean Long, James Roby and Jon Wilkin.
Other highlights included a Paul Wellens brace to make it 16 in his last eight games and a Jon Wilkin hat-trick.
Jam maker Wilkin and Sons has been given permission in principle for a larger factory with almost double the number of workers.
Twins OF Wilkin Ramirez's wife went into labor before the game started.
The champions were missing Great Britain trio Lee Gilmour, Ade Gardner and Jon Wilkin through injury with Tyrer coming in for Gardner.
Fa'asavalu's selection has attracted some controversy given his past loyalties, but Wilkin insists he is delighted to have his club colleague alongside him.
England's only other injury absentee is back rower Jon Wilkin, who has facial bruising but is expected to be available for the semi-final.
Dr Powers told the court the Ten Tors Expedition had great social value and Mrs Wilkin-Shaw did not want to diminish its benefit.
Despite their shortage of bodies, Saints led inside the sixth minute when James Roby found Wilkin and his flat pass sent Wellens crashing over.
With little left to give, Leeds then gifted Wilkin his first score when he intercepted Sinfield's pass to run 30m to score under the posts.
In other words, Wilkin is a woman who knows her business.
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But they proved far too strong for a Saints side missing Jon Wilkin, Leon Pryce, both injured on England training camp duty, and Sia Soliola.
Sean Long's tactical awareness is superb, and he's got other options behind him in Leon Pryce, Jon Wilkin and Kyle Eastmond to keep Leeds guessing.
The Reverend Rose Hudson Wilkin, one of the Queen's chaplains and a strong supporter of the change, was furious at the efforts made to accommodate opponents.
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Last year, Mrs Wilkin-Shaw went to the High Court, claiming the private school's language teacher Christopher Fuller had failed to properly supervise the teenagers during their training.
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