If it's good enough for you rifle, it's good enough for your pistol. ....
Now, fine Linen cotton cloth is what is prefered. You don't want any synthetics like nylon or whatever. Not sure of what you are describing but looks like it might be something along the line of good old pillow ticking. As
[email protected] has described, give it a burn test. Also want to look at some lubrication like bore butter or spit patch. ...
Be Safe !!!