"Pulps."
(Refers to periodicals printed on cheap pulp paper, as in “Pulp Fiction.”)
Speaking of paper, didn’t that word itself come from papyrus? Another case of the material-based name sticking around even after the material changes.
Also, newspaper.
I would think, that it should slip in. A cotton boll is in it’s natural state, the ball has no seeds/seedpods in it and has been “made” into it’s state by man. (Even bleached IIRC.) Surely you’d concede that since the OP contained “glass” as in drinking vessel, which is made of glass, that cotton ball should be allowed?
A theater stage is referred to as "the boards."
You’re kidding. Wow.
How about a soda?
Or a malt?
No, I don’t agree. It’s a ball made from cotton so it’s a cotton ball. There’s no transfer of the name of the material to the object. “Cotton” is still acting as a descriptor, not as the name of the object itself.
Just as “woollen pullover” doesn’t count, but “woollens” does.
Circuit Boards are made of circuits - placed on a ‘board’
Are laces (as in shoelaces) so-called because they were originally lace items?
And has anyone mentioned linens?
Ok, then cotton balls is out. What about beeswax? Either as a furniture polish, or moustache pomade. (It’s used for surfboards, skateboards, and cars too.) Does that fit the criteria?
I don’t think so, because “lace” doesn’t describe the material, it describes how the material is arranged. Lace could be made out of any sort of fiber, right? So lace isn’t a raw material.
Linens were already mentioned.
I don’t think beeswax counts, because it is just the material itself, not an object made of the material.
Just in case everyone didn’t know, mothballs are not testicles. 
No, but they are (traditionally, not sure about always) napthalene.