All 3 Uses of

extortion
in
Sense and Sensibility

Disappointed, however, and vexed as she was, and sometimes displeased with his uncertain behaviour to herself, she was very well disposed on the whole to regard his actions with all the candid allowances and generous qualifications, which had been rather more painfully extorted from her, for Willoughby's service, by her mother.†
Chpt 19

To atone for this conduct therefore, Elinor took immediate possession of the post of civility which she had assigned herself, behaved with the greatest attention to Mrs. Jennings, talked with her, laughed with her, and listened to her whenever she could; and Mrs. Jennings on her side treated them both with all possible kindness, was solicitous on every occasion for their ease and enjoyment, and only disturbed that she could not make them choose their own dinners at the inn, nor extort a confession of their preferring salmon to cod, or boiled fowls to veal cutlets.†
Chpt 26

Definition:

obtaining something by threat

or:

charging unfair prices of someone who has little choice