Stick of Charcoal is the material component for the spells Darkness and Neutralize Poison.
Darkness is a Bard 2, Cleric 2, Wizard/Sorcerer 2 spell. Neutralize Poison is a Bard 4, Cleric 4, Druid 3, Paladin 4, Ranger 3 spell.
Charcoal (which I'm presuming becomes Stick of Charcoal) can be made at a Public Forge (I don't know what quantity is produced) from three (3) Branches of Hickory (that seems somewhat excessive, but may be mitigated by the quantity produced).
Of the Bard, Cleric, Druid, Paladin, Ranger, Sorcerer and Wizard classes that require Stick of Charcoal as a material component, only the Paladin and Ranger can wield the "Woodcutter's Axe" (feat required: Martial or Monk) to harvest the Hickory Branches required to produce the Charcoal.
Further, Charcoal is (estimating) a level 13 Craftable Natural Resource. That is, you need thirteen levels in Smelting to have 100% chance of success, or eight levels to have 50% chance of success, or three levels to have 0% chance of success (Strength and Dexterity modifiers notwithstanding; all dependent on my observations/understanding of CNR levelling being accurate).
Therefore, you will have to gain four or more levels in Smelting before you can begin crafting Charcoal. These levels can only be gained by smelting Ore, which can only be mined with a "Miner's Pick Heavy" (feat required: Martial). Again, of the seven classes requiring this material component, only two can wield the required crafting tool, and, potentially, have a need/use of the metal ingots produced.
Can this situation be made more amenable to the non handaxe wielding classes.