Fawna \fa(w)-na\ as a girl's name is a variant of Fauna and Fawn (Old French), and the meaning of Fawna is "young deer". The baby name Fawna sounds like Fawnya, Fawnia, Fawne and Faina. Other similar baby names are Dawna and Tawna. View a list of the 2 names that reference Fawna.