Berneice \b(e)-rnei-ce, ber-neice\ as a girl's name is a variant of Bernice (Greek), and the meaning of Berneice is "victory bringer".
The baby name Berneice sounds like Berneece, Berenice, Bernise, Bernyce, Berniece and Beranice. Other similar baby names are Bernie, Bernette, Bernee, Vernice and Bernelle.