Fawnya \fa(wn)-ya\ as a girl's name is a variant of Fawn (Old French), and the meaning of Fawnya is "young deer".
The baby name Fawnya sounds like Fawna, Fawnia and Fanya. Other similar baby names are Tawnya, Danya, Dahnya, Fanny, Fannia, Fania, Fauna, Fawne, Faunia, Faina, Fenya, Hannya, Vanya, Manya, Panya, Tanya and Tahnya.