Fiby \f(i)-by\ as a girl's name is of Spanish origin. Variant of Phoebe (Greek) "shining, brilliant".
Baby names that sound like Fiby are Febe, Fabia and Pheby. Other similar baby names are Liby, Abby, Kiba, Bibi, Libby, Lib, Fay, Fey, Fifi, Fina, Gaby, Joby, Liba, Fila, Ruby, Sib, Tibby and Toby.