Claims that the standard single-particle, parity-non-conserving, nucleon-nucleus interaction,V p n c = ct [middot] 12 {[sigma ] [middot] p, [rho ](r)}, is a surface one are considered. It is shown that examination of integrands entering some quantity involving V p n c leads to quite puzzling results. These are further supported by a similar examination for a term [[sigma ] [middot] p, [rho ](r)] which is odd under time-reversal, but has a priori a well-defined surface character. Alternative approaches to determine whether V p n c is a surface or volume interaction are developed, based on using wave functions as test functions. From these approaches, the volume character of V p n c is unambiguous.