In May of 2013 I introduced a line of mill woven Dye-Lishus® cotton fabrics at the International Quilt Market in Portland. There are four fabric styles, mixing treated and untreated cotton yarns to make pre-patterned cloth for dyers. The Dye-Lishus® cotton accepts any dye readily, including acid dyes used for protein fibers.  So the union dyes, Rit, Dylon, and i-Dye are not wasted on this cotton. The direct portion will dye the untreated part of the cloth a pale color. Here are some photos. The red is Dylon, the lilac is i-Dye. You need MUCH LESS dye, maybe 1/8 what the instructions call for.