The Legend of Zelda hero didn't have the Master's Sword, he had the Wooden Sword, the White Sword, and the Magical Sword.
Now that I say that it occurs to me that you weren't talking about the first Zelda game but the first cannon hero: Skyward Sword. This is just my opinion but I think that the Master's Sword has been handled by so many heroes through the ages that it would be impossible for it to be imprinted as specific to any one Link.
I also think if we use the Hero's special magical item from each game we are going to end up with a hero that can: Control the winds, travel through time, control the seasons, change night into day, teleport, shrink, cross dimensions, and split himself into four. I think it would be a better idea to use items that were important to each of the heroes but didn't necessarily hold immense amounts of power. Like the Sailcloth for Skyward Sword Link or the Pirate's Charm for Wind Waker Link.