I would recommend Textiles of Ancient Mesopotamia, Persia, and Egypt (1987) by Florence Eloise Petzel. I ordered about 4 or 5 books on ancient Mesopotamian textiles, and most of them were skinny booklets with lots of color photos of tattered scraps of ancient cloth, but little info about how it was made. This book however, gives details of all the processes; the weaving, the fulling, the dyeing, the stitching, as well as all the commodities used in the areas, such as dyes, fixatives, fibres, etc. I bought a softbound volume very cheaply and consider myself lucky to own it.