I read a bunch of different pages on the Chrono Wiki related to the events and from what I learned is that if the Chrono Trigger/Time Egg hatches, the person that needed to be rescued has to be important to the space-time continuum. What I'm trying to figure out now...does the Time Egg only work on those who've died throughout the time periods if it hatched? Now that I have a better idea of Schala's situation, Schala didn't die, she just ended up being missing in action, absorbed by Lavos and the broken mammon machine is with them too.

This is kind of hard to talk about without bringing up the sequel which does touch up on some of the events. I feel like some of the unanswered questions surrounding the events of CT like Magus' search for Schala, The situation surrounding Crono & Marle in The Fall of Guardia, and whatever else wasn't answered in the sequel won't have any clarity until the sequel to Chrono Cross is planned (IF it's planned at all.) Even then, I am not sure the 3rd Chrono game will even reference anything that happened in Trigger.