Here's some help:
http://youtu.be/gLlObpob6lg
Also, go to youtube and search blacksmithing, metal working, how to make charcoal, how to build a forge. A lot of this will make more sense if you watch people do it.
Researching on how apprenticeships worked is probably a good idea as well. You don't just grow out of an apprenticeship. You have to complete years (usually seven) of training. Then you become a journeyman. This is where you're sort of like the second in command of the shop. That's the point where you work on and produce your masterpiece. Once that's been successfully completed and judged appropriate the title of master will be conveyed, and in many areas that's the point where you're finally allowed to open your own shop.
Or, skip the whole blacksmithing thing all together and write the sorts of things you do know about. Nothing will toss a fantasy fan out of the story faster than an author who muffs the details of a fairly common medieval technology.
I know if I ran into a 'wood forge' I'd be very annoyed and stop reading. Charcoal burns much hotter than wood, which is necessary to get to the temperatures you need to work metal. Plus it's vital to making steel, which your sword should be. And, assuming your characters father has the skill to make a sword, he has the skill to make charcoal. It's not hard to do.
Likewise, you only want molten metal if you are going to be casting with it.
Also, if your blacksmith is in the middle of the forest, where is he getting his ore from? Iron ore is very heavy, so it's usually only worked in places where there's a very good transportation net available. Is the forge right next to a river in the forest? Is the forest at the base of a mountain where people are mining?
Keep things like that in mind when you're writing. While it's true that most readers have little desire to have an entire socio-economic history portrayed in your book, your set up will work a lot better if it's not just a smithy in the middle of the deep forest away from everyone else.