Thanks for the suggestions. Digikey does not seem to have it; but I asked for just the male/female parts, (not with tinned leads). They have 4-pin mini-DIN connectors, but the problem is that the DIN configuaration is too wide, in cross-section, for my application. I need something THIN in cross-section.
I tried contacting some of the companies, listed in the pinout.ru site, that use the 4-pin connector in some of their cell-phone stereo-earphone/microphone products, (e.g. LG), but they do not know what I am talking about; and they won't give me a direct contact to their engineering depts.
So far mouser has not responded.