Both Uses of

flourish
in
Tess of the d'Urbervilles

"You shall be made sorry for that!" he resumed, his injured tone still remaining, as he flourished the whip anew.†
Chpt 1 *

Bless your soul, sir, why—there, I wouldn't wish to say it everywhere, but—even this headstone, for all the flourish wrote upon en, is not paid for.†
Chpt 7

Definitions:

(1) (flourish as in: the business is flourishing)
to thrive (grow or develop well)
(2) (flourish as in: dismissed them with a flourish)
a showy gesture

or:

the act of waving -- a hand or an item
(3) (meaning too rare to warrant focus)
meaning too rare to warrant focus:

In Shakespeare's plays, flourish is often used as a stage direction indicating a specific type of showy gesture: fanfare played by trumpets or other horns to announce the entry or exit of royalty.

Check a comprehensive dictionary for other senses including some that are of interest to musicians.