The name Eunice is a girl's name of Greek origin meaning "good victory". Eunice and is often added to lists like Girl Baby Names That End With S and discussed in our forums with posts like "Girls Makeover - Two Middles".
From the experts:
Eunice is a New Testament name of the mother of Timothy, long associated with one of the Kennedy sisters, the founder of the Special Olympics. As high as Number 106 in the early 1900s, it lasted on the list until 1995. Eunice was the birth name of Nina Simone, which gives it a modicum of cool.