What does Unice mean?
Unice is an uncommonly occurring first name for women but a somewhat prominent surname for both adults and children (#132259 out of 150436, Top 88%). (2000 U.S. Census)
Eunice is the only prominent related form of Unice (#unlisted) ranked in the Top 1000. Adoption of these girl names reached its highest during 1900-1909 (usage of 0.886%) and has become significantly lower since, with Eunice becoming less trendy. Below is a graphed comparison of the usage of Unice and related names. (2014 Birth Statistics)