I know this does not answer your question, but charred cloth was not traditionally used outside of the home, except in the case of onboard ship. The Gunners used to char cloth.
Cloth was never charred in a tin, it was charred directly in the fire. Woodsmen charred punkwood & various other plant fibres, directly in the fire. The tinderbox was used to smother the tinder after it was charred. The fire is actually made directly from the tinderbox, although it was not unknown to place tinder in a kindling bundle & strike sparks on it there.
I did search the FAQ, but could not see any info on posting videos, so please excuse me just posting the links. There are many videos on my channel regarding 18th century wilderness living & a variety of period fire lighting methods if you are interested.
Regards, Keith.
No Charcloth Flint & Steel Fire Lighting.
Field Preparation Of Plant Tinder For Use With Flint & Steel By Charring.
Plant Tinders Part One.
Recognising/Identifying Punk Wood & More By Keith H. Burgess Part One.