What does Unice mean?
Unice is an uncommonly occurring first name for women. Unice is also an uncommon surname for both adults and children. (2000 U.S. Census)
Eunice is the only prominent related form of Unice (#unlisted) ranked in the Top 1000. Adoption of this girl name reached its highest during 1900-1909 and has become significantly lower since, with the form Eunice becoming less trendy. Below is a graphed comparison of the usage of Unice and related names. (2014 Birth Statistics)