I tend to agree with what most people here have said. It seems to be more of an Easter Egg of sorts, rather than something really plot related. However, it is possible that it
can be plot related, depending on what happens in future Zelda games. Regarding the names, I never noticed that on my own. I only realized the similarities while browsing ZeldaWiki, and read some trivia about it.
When I first heard this, I thought it might have been a mistake. Of course it isn't. Nintendo wouldn't let a gaping mistake like that slip past them, so it was obviously intentional. I assume this has something to do with it:
From this, I had gathered that Ordona, the village
and the spirit, are separated from everything else, more or less. I believe the three Light Spirit that intervened on the Dark Interlopers are Eldin, Faron, and Lanayru, not Ordona. The trivia with the names also supports my theory, and so does this fact: Each of those three Light Spirits have a corresponding element, matching their "namesake's" element. Faron has Earth/Forest (the Forset Temple); Eldin has Fire (the Goron Mines); and Lanayru has Water (the Lakebed Temple).
I assume it is just those three, but you have reason to wonder why Ordona wasn't included. This would certainly be a cool thing to hear more about in future Zelda games, I think.