This lock of hair, which now he can so readily give up, was begged of me with the most earnest supplication.
CHAPTER 44 Elinor, starting back with a look of horror at the sight of him, obeyed the first impulse of her heart in turning instantly to quit the room, and her hand was already on the lock, when its action was suspended by his hastily advancing, and saying, in a voice rather of command than supplication, "Miss Dashwood, for half an hour—for ten minutes— I entreat you to stay."
There are no more uses of "supplicate" in the book.
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He supplicated the King for forgiveness
The woman walked past him, up the steps, onto the porch, into the house, and the man bowed his head as if in prayer, then lifted his head as if in supplication.