Disgea

I know there's a topic about the fourth piece (Tetraforce), but this is a bit different... however, the theories may be related. While I'm not a believer in the Tetraforce, I do have to wonder about the significance of a fourth piece... or maybe, a separate, singular piece altogether.

Anyway! As we know, the world of Hyrule was created by three golden goddesses: Din, Nayru, and Farore. They did not anticipate that the creation of Hyrule would result in the creation of millions of alternate worlds, one of them being Termina. What's more is that this world that Link happened to stumble into is a parallel world of Hyrule. As we come to find out, there is another goddess: the Goddess of Time.

Is this goddess another accidental creation of Din, Nayru, and Farore?
If the three holy women accidentally created millions of other worlds, it may be possible that millions of other gods and goddesses were created. The Goddess of Time may simply be another accident.

Or is this goddess a parallel of one of the people from the world of Hyrule?
We see parallels of many people.. what about Princess Zelda? Many of the parallel characters have things in common (Romani & Cremia on a ranch like Malon, the "lovers" of Hyrule and Termina are together in both worlds, etc), so would it be possible that the Goddess of Time is Princess Zelda's parallel? Or maybe the Goddess of Time is a parallel character to somebody else from Hyrule.

Is it possible that she is just a lesser goddess?
Much like the the Hyrulian Zora's god, Jabu-Jabu/Jabun, The Hyrulian Gerudo's Goddess of the Sand, Termina's Four Giants, and Termina's mask that allows Link to transform into Fierce Deity (Kijin no Kamen = Fierce God)? Could the "fourth piece" not be related to the Triforce at all, but a symbol of a single goddess for Termina?

Maybe she's not of Termina at all?
What if word of her was brought from other worlds? If the Skullkid and the Happy Mask Salesman know of ways between worlds, perhaps there are others who know as well. Perhaps, through word of mouth, she became yet another legend? Maybe she doesn't exist at all, but the people of Termina believe she does.

A supreme being?
When the three goddesses created Hyrule, "their potent breath slipped through tiny cracks in the folds of space". Would it be possible that a superior goddess existed beforehand, or was even created at this moment? One who's powers also slip through the cracks in the folds of space, affecting all of the millions of alternate worlds? If so, perhaps this is what that "fourth piece" represents.
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I'm not much of a theorist. I believe only what is deemed canon. However, when there are unanswered questions such as these, it's fun to consider all the different answers. What do you think?