Alchemists & Fleshcrafting Poisons

How would the alchemist class work with qualifying for the Brew Fleshcrafting Poison feat? And exactly what is the process of brewing them and using them?

Technically, they can't, because they have no caster level. Which is stupid and not really the intent of the rules, but there you go. If you are the GM, I would encourage you to create a custom Alchemist Discovery for your player that gives them Brew Fleshcrafting Poison as a bonus feat, with a prerequisite of Alchemist Level 10. If you are a player, I would recommend you reference this FAQ for the GM and point out to him that as written, Alchemists cannot take Craft Wondrous Item and therefore cannot create elixirs, universal solvents, sovereign glue, etc.; and also cannot take Craft Construct, and so cannot create alchemical golems, which seems bizarre. Numerous published adventures, including adventure paths and modules, include Alchemists with construct minions who they appear to have created, such as:

Here is also a link from James Jacobs, the original designer of the Alchemist Class, saying alchemists should be able to take the feats, substituting extracts for spells as appropriate.

Now, there is the option of going Master Craftsman, for Craft Wondrous and Arms and Armor, but it wouldn't allow Fleshcrafting. So in either case, the GM would need to do some houseruling, either just to allow the Alchemist to take the feat outright, or to allow Master Craftsman to enable the Fleshcrafting feat.

I have a dumb question, just where can I find the feat 'Brew Fleshcrafting Poison'?

AP#16, according to d20PFSRD.com.

Brew Fleshcrafting Poison

So... it's reasonable to say that a DM might allow me to take it, though, exactly how does using a Fleshcrafting Poison work?

The fleshcrafts you can use with this feat are not listed in either the D20pfsrd.com site, or the archives of nethys site, probably because they're considered outside the scope of what the OGL allows one to republish. If you're committed to using this, you may want to purchase that AP, or find a used copy to buy somewhere, or ask your gaming buddies to see if anyone has a copy of that AP. Well, look at that, seems that there's a sale going on for older AP volumes:AP#16

The fleshcrafts you can use with this feat are not listed in either the D20pfsrd.com site, or the archives of nethys site, probably because they're considered outside the scope of what the OGL allows one to republish. If you're committed to using this, you may want to purchase that AP, or find a used copy to buy somewhere, or ask your gaming buddies to see if anyone has a copy of that AP. Well, look at that, seems that there's a sale going on for older AP volumes:AP#16

That's not entirely accurate. :)

Additionally, if you ever want to see if I've added something from a specific book, like Pathfinder #16, just go to the Sources area and there are handy links for everything.

Thanks everyone for the links and advice on where to go for a hardcopy of the information.