Walkthrough
1. Talk to ReldoGo to the library in the Varrock castle and talk with Reldo. Ask him about Imcando Dwarves. He will tell you that they LOVE redberry pies.
2. Go to Thurgo
Now go south from Falador, past port Sarim and then you will see a little house there. Go to the house and talk to Thurgo and ask him if he wants some redberry pie. He will tell you that he will make the sword but he doesn't remember what it looks like. After you have talked to him, go to white castle and talk to Squire. Ask him if he got a picture of the sword he lost and he will tell you that sir Vyvin got one.
3. Getting the picture of blurite sword
Go to the third floor of white castle and try to shut the door. Sir Vyvin can't see you because you have closed the door and now you can take the picture. Open the door and go to Thurgo who is in a little house south of Port Sarim. Then give him the picture and he will tell you that he need 1 blurite ore and 2 iron bars. You have the iron bars but not the blurite ore. Go to the ladder and go down. Go through the Muggers, Pirates, Hobgoblins and Ice Warriors. Mine 1 blurite ore (or 2 if you want to have a extra blurite sword for yourself). When you have the ore(s) and bars go to Thurgo and he will make you the sword.
4. Claim the reward
Head to Falador and go to the Squire. Talk to him and you will get the reward.
Getting 2 swords
Do the things you did to get the one sword but this time you get 2 ores and 4 bars. When you have them, go to Thurgo and talk to him. He will make you 1 sword then you drop one fast. Talk to him again and he will make one more and then take the sword you dropped. Now go to Squire and drop the sword. Talk to him and give him the sword and claim the reward. Then take the sword you dropped. Now you got one sword you can use yourself.