French/Mexican Shower

My understanding is that "taking a French shower" is slang for applying a heavy dose of perfume or deodorant in lieu of taking an actual shower, while "taking a Mexican shower" is slang for washing what one can in a sink in lieu of taking an actual shower. Am I incorrect on either count? Thanks for any replies.

I have heard both of these "showers" referred to as "w h o r e's baths;" however, I do not understand the need or the origin of qualifying either one as "French" or "Mexican." Does anyone understand why or when?