Starting at level 20 you can go to quarry mill and turn in a Tripler, a levee traded craft quest allowing you to turn in the quest three times per allowance, which requests cotton coifs of gathering (cotton yard vendor is alchemy guild vendor). After the first turn in and until you hit level 25 this quest will net you 10 webs, about 1000 Gil and 20k weaving Exp per turn in, which is 30 webs 3k Gil and 60k Exp per levee allowance. This type of quest is available for all crafts and at all levels. Craft something of the previous rank, and turn it in at a Tripler to "convert" materials of one tier into the next higher tier. If anyone locates other cheaply crafted turn in triplets like this let us know. It is quite easy get 100-200+ webbings this way before leveling out of the cotton coif window