Henia \he-nia\ as a girl's name is a variant of Henrietta (Old German), and the meaning of Henia is "home ruler".
The baby name Henia sounds like Hania and Henie. Other similar baby names are Denia, Genia, Fenia, Hedia, Helia, Henka, Kenia, Venia, Xenia and Zenia.