Tyberia \t(y)-be-ria\ as a girl's name is a variant of Tiberia (Latin), and the meaning of Tyberia is "the river Tiber".
The baby name Tyberia sounds like Debera, Dobra, Debra, Debora, Deberah, Debbra and Debbera. Other similar baby names are Iberia and Tyria.