I'm sure it was the Beadle who brought her to Judge Turpin's house. It's in Mrs. Lovett's song about the incident and the accompanying pantomime:
"Well, Beadle calls on her all polite
Poor thing, poor thing
The judge, he tells her, is all contrite
He blames himself for her dreadful plight
She must come straight to his house tonight
Poor thing, poor thing"
Moreover, the Beadle stand in for all law enforcement in the play. He's often seen lurking about even when he isn't in an actual scene.
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ETA but Kad is also right that at the end of the play, Lucy has seen the Beadle enter the shop and not come out again. Which is probably the reason for the final "beadle deadle dumpling".
Updated On: 7/8/12 at 12:37 PM