Headcanon: The Beginning of the Last (Noel's Parents)
During the War of Transgression, there was a powerful l'Cie named Ravell. He was one of the few magic users in history who had the ability to bend time and space to their will, albeit only minor changes. As a chronomancer, he was often sought after for his power and ability, which often put his life in jeopardy as well as the well-being of his wife.
Once the fact would have been difficult to hide for much longer, Ravell's wife confessed to Ravell with a heavy heart that she was with child, and that she was worried for the child's well-being in this period of war and destruction. Ravell was overjoyed, but he too shared his wife's concern of the child's chance of survival in such a chaotic time.
After a visit from the Seeress Yeul, Ravell decided that the best place for the child to grow up would be in the distant future, where the war would be over and people would be living in peace and harmony. He and his wife agreed upon this fact with much regret and sorrow, knowing that the day would come where they would have to send their child away from them for his own safety. The day came, and Ravell's wife gave birth to a beautiful boy, who they would promptly name "Noel" to symbolize a new beginning.
Ravell used much of his energy to send Noel into the distant future, where he would be under Yeul's protection along with her guardian, Caius. Being left in a weakened state, Ravell used the rest of his energy to wipe the memory of Noel from the minds of himself, his wife, and all others in his time period for the child's own protection. Once this task was completed, and all of his power was spent, he and his wife were made crystal; a final gift from the Goddess Etro who acknowledged their sacrifice and the fact that Noel would someday play an important role in fixing the timeline.
Being born in the past and having the blood of a chronomancer, Noel is able to travel the timeline by resonating with gates that detect Ravell's power within him. He also relies on primal, pulsian methods of fighting, choosing the path of the hunter and expert of the land.
What Ravell didn't know, is that he was sending Noel into a future far worse than he could have ever imagined due to the instability and chaos of the timeline.