Hepsie \he(p)-sie\ as a girl's name is a variant of Hepzibah (Hebrew), and the meaning of Hepsie is "my delight is in her".
The baby name Hepsie sounds like Hepzia and Hepzi. Other similar baby names are Hatsie, Helsa, Heloise, Gipsee, Hatsee, Hepsibah, Hephzia, Hefzia and Hope.