I've heard conflicting reports on this one, with some saying they heard something they sounded like it and others saying it's not in. I'm not far enough into the game myself to confirm one way or the other. I have heard that Valley of Quicksand and Temple of the Sun apparently didn't make the cut without any contradictions. :-(
I've searched all over Youtube, and this track seems, yeah, absent along with the Ordeal one, which I was looking for...and yet, oddly, they kept several others. I'm still waiting on something reliable on the matter...if that be the OST track list.
Go to Gamestop, buy a Steam card, and use it to purchase Ys Origin. You won't be disappointed. For more info: http://www.worldofys.com/yso/
The Dawn of Ys was the opening for every other version of the game, for some unknown reason Falcom made a brand new song for this one and apparently repurposed Dawn as a field BGM.
(emphasis mine, of course)
...the song isn't brand new. It's Adol's theme. I didn't recognize it immediately because of how different of an arrangement it is... In fact, it wasn't until the second or third day of playing the game when the melody hit me.