Chessney \ch(e)-ss-ney\ as a girl's name is a variant of Chesney (Old English). See for meaning of Chessney. The baby name Chessney sounds like Chessnea, Chessnie, Chessni and Chesnea. Other similar baby names are Chessley, Chassey, Chastney, Chessie, Chesslea, Chesley and Chessy.