The name Lucrece means Wealth and is of French origin. Lucrece is a name that's been used primarily by parents who are considering baby names for girls.
French form of the name Lucretia, which comes from the Roman surname Lucretius. From the Latin word lucrum, meaning "wealth, profit." The same root as the word "lucrative."
In Roman lore, Lucretia was a noblewoman in ancient Rome who was raped by Sextus Tarquinius, an Etruscan prince. This caused a rebellion that overthrew the Roman monarchy and led to it being a republic.
The rape of Lucrece is a play by William Shakespeare.