The title is the way it is for a reason.
Low Level Quests
Tormus Deepforge, Ironforge – Supplying the Front. Reward is the recipe for Copper Chain Vest, which is also a reasonably common drop, and therefore cheap at the AH. Deliver 6 Copper Axe and 6 Copper Chain Belt to Loch Modan. Requires: 72 copper, 6 weak flux, 12 linen cloth.
Tormus Deepforge, Ironforge – Gearing Redridge. The reward is the recipe for Ironforge Breastplate, which is very nice for the level (15). Deliver 4 Runed Copper Belt and 4 Heavy Copper Maul to Lakeshire. Requires: 88 copper, 8 weak flux, and 8 light leather.
There are some Horde quests for level 32-36.
The Mithril Order
You need to do these quests to get the recipes to make the items for the Armorsmith quest. The Weaponsmith quest recipes are all vendor or trained.
Hank The Hammer, Stormwind – The Origins of Smithing. You must be level 40 and 210 blacksmithing skill to get this quest. The reward is a recipe for Golden Scale Gauntlets. Make 6 Golden Scale Bracers; requires: 5 iron, 5 coal, 6 heavy stone.
Hank The Hammer, Stormwind – In Search of Galvan. You just have to go to Booty Bay, which gives you: McGavan – The Mithril Order. In turn, you are sent to Galvan the Ancient, in Stranglethorn Vale, between Zul Gurub and the Mosh’Ogg ogres. Come prepared with the items required for all his quests, which will save a lot of time.
Galvan the Ancient – Smelt On, Smelt Off; The Great Silver Deceiver; The Art of the Imbue. Rewards are plans for: Ornate Mithril Pants, Ornate Mithril Gloves, Ornate Mithril Shoulder. Deliver to Galvan: 40 iron, 120 mithril, 5 truesilver, 4 citrine. Once you have completed these, you are given: Galvan the Ancient – Galvan’s Finest Pupil. Who is Trenton Lighthammer in Gadgetzan.
Trenton Lighthammer – The World At Your Feet (skill 235); The Mithril Kid (230); A Good Head On Your Shoulders (230). Trenton wants: 2 Heavy Mithril Boots, 1 Ornate Mithril Pants, 2 Heavy Mithril Breastplate, 1 Ornate Mithril Gloves, 2 Mithril Coifs, 1 Ornate Mithril Shoulders. The rewards are recipes for: Ornate Mithril Helm, Ornate Mithril Boots, Ornate Mithril Breastplate.
Requires: 114 mithril, 3 truesilver, 1 aquamarine, 8 solid stone, 14 thick leather, 18 mageweave cloth.
Armorsmith. Grumnus Steelshaper, Ironforge – The Art of the Armorsmith. He wants 4 Ornate Mithril Helms, 2 Ornate Mithril Boots, 1 Ornate Mithril Breastplate. These are the recipes from Trenton. Which requires: 108 mithril, 18 truesilver, 1 heart of fire, 24 solid stone, 8 thick leather, 2 aquamarine, 4 black pearls.
Weaponsmith. Ironus Coldsteel – The Way of the Weaponsmith. 4 Moonsteel Broadswords, 4 Massive Iron Axe, 2 Heavy Mithril Axes, 2 Big Black Maces. Highest skill required is 230. Recipes can be bought from Zarena Cromwind in Booty Bay and Jaquilina Dramet at Nesingwary’s Expedition (you need both places). Required: 88 iron, 32 coal, 16 strong flux, 12 lesser moonstone, 28 heavy leather, 36 heavy stone, 16 gold, 56 mithril, 4 citrine, 16 solid stone, 2 black pearl, 8 shadowgem, 4 thick leather.