I am happy to report, the TPE Stain Remover, available on Amazon or EBay, works! I had gotten a couple of large, dark stains, on the back shoulders, of my 140 doll ( from the black cotton lace suspenders, of a schoolgirl costume). After watching a couple of YouTube videos, on how to use the product, I applied it to the stains. After one night, the stains were significantly diminished. I ended up applying the stain remover 3 times, as the stain was very dark and large. As you can see in the picture, the stains were removed and my doll is nearly pristine, again.
The Stain Remover costs about $15.00, with free shipping. It comes from China, so it takes a couple weeks, minimum, to arrive... Not a very large container, about the size of a Carmex Tub.