In Greek mythology, Nice (transcribed this and not with the usual Nike) was a Thespian princess as one of the 50 daughters of King Thespius and Megamede, daughter of Arneus (or by one of his many wives). She bore Nicodromus to the hero Heracles.
This name can also be given in reference to the city in Italy, as in the case of Florence Nightingale (1820-1910), who was born there to British parents. She was a nurse in military hospitals during the Crimean War and is usually considered the founder of modern nursing.