A UFDC Mini Seminar
The original clothing had never been cleaned. Wet or dry cleaning is an irreversible procedure.
The dress was vacuumed, placed on a clean white towel, and covered with baking soda. After several days, the soda was shaken out, and the dress vacuumed again. This technique leaves the original sizing in the fabric, and does not alter the shape of the textile.
Common baking soda or pharmaceutical talc are both good for removing oily residue on textiles, and have the added advantage of being deodorants.