The "Male Member" (sometimes 'male organ') is a delicate way to refer to the penis for people who are grossed out by street slang (dick, cock, etc.) and who think even "penis" is unnecessarily graphic.
Even today, there are such people around.
"Did you see the graffiti on that boxcar? The small letter "i" is really the male member -- the base is the testicles and the dot over the "i" is ejaculate."
"I must have missed it -- but then, I don't go looking for such things. lol."