Here is the complete listing of the items you need to give and receive to end up with the Noble Sword (Level 2 Sword).

1. After you finish the first dungeon, use the Power Bracelet to lift the stones blocking the Poe. Talk to it to get the Poe Clock.
   
2. Give the Poe Clock to the Postman in Lynna (Past) to receive the Stationery.
   
3. Give the Stationery to the Hand in Lynna (Past) to receive the Stink Bag.
   
4. Give the Stink Bag to the Tokay Chef on Crescent Island (Present) to receive the Tasty Meat.
   
5. Give the Tasty Meat to the Mask Salesman just before Nuun Highlands in the Present to receive the Dog Mask.
   
6. Give the Dog Mask to Mamamu Yan in Lynna (Present) to receive the Dumbbell.
   
7. Give the Dumbbell to Skinny Man in Symmetry City (Past) to receive the Cheesy Moustache.
   
8. Give the Cheesy Moustache to the Comedian in Lynna (Present) to receive the Funny Joke.
   
9. Give the Funny Joke to the depressed boy in Lynna (Past) to receive the Touching Book.
   
10. Give the Touching Book to Maple to receive the Magic Oar.
    
11. Give the Magic Oar to Rafton in South Lynna (Past) to receive the Sea Ukelele.
    
12. Give the Sea Ukelele to the Old Zora who lives south of Naryu in the Present to receive the Broken Sword.
    
13. Give the Broken Sword to Patch on Restoration Wall. He'll set up another "Ceremony" with eight beetles this time. Win to get the Noble Sword!