1) Ancient Roman cognomina 2) Feminine given name 
The Family name Minea is of ancient origin. Roman, Greek and Cretan are some possibilities. There is also the possibility the family name was derived from a locality, that of Mineo, in the Province of Catania, Sicily, Italy. The name is prevalent on the Italian peninsula and Romania, in Greece (e.g. Mineas), and the former Yugoslavia (i.e. Montene...[given name] Minea is a feminine given name in occasional use in Finland, particularly among Swedish-language speakers. ...
Minea is a cultivated variety of potato.