It's is important to use natural fibers such as 100% cotton, 100% flax linen, or very thin leather. Cotton and linen are the most available and repeatable for use in patching round ball loads. Wool isn't a good patch for round ball. And despite the quote from The Last of the Mohicans , silk is a poor choice for patching.
Any fabric that melts, avoid for any use except for cleaning patches. Just to be a bit over cautious, use fluffy cotton material for a cleaning patch.
My choice is a tightly woven cloth that is slightly thicker than the depth of the rifling and will compress to 1/2 of the difference between ball diameter and land to land bore diameter. The #40 cotton drill (utility cloth) from JoAnn's Fabrics has been my favorite for a very long time. Bot then I have rifling depth of 0.010" to 0.012" for most of my rifles.
When you go into JoAnn's with your micrometer in hand and ask for drill cloth and you get that panicked, blank look, ask for utility cloth. Drill is not often found with the pillow and mattress ticking. The canvas and denim fabrics are also in different sections. Read the labels on the bolts of denim fabric. Some denims are blends with synthetic fibers which are unsuitable for our use with a round ball. In the store, cloth has sizing that makes it feel thicker and hard to compress. Go online for a half off coupon and get a quarter yard. Wash it and then measure it. Try shooting. That quarter yard will last for nearly 200 shots. At least you now know where to find the fabric in the store.
My experience with linen patching is that the patches resist tearing and burn through better than cotton, but the very tightly woven fabric is much more expensive than cotton patching.