***SPOILER ALERT***
Ok well what happens in Crono's quest is:The King asks Crono to do some recon work in Porre to fnd out what's been going down there. Marle overhears, and comes with you. Then, after looking around, you hear of a General Alex, who's on an important mission. You want to find out what the mission is, so you search around, and find that Alex is in the Hijira Woods. You go there, and once you make your way through it and meet Therris, Alex's friend, who was waiting outside a cave for Alex. He joins you, and together you go in. After making it through, you find an unconcious Alex. Then you hear a loud growl. Therris helps Alex, while you find out about the noise. You enter the next room, where you fight the Hijira Monster. Once beaten, he retreats through a warp of sorts, that takes you to an alternate dimension, where Gaurdia has been crushed by Porre, and the refugees are living out in a cave. You make it to the cave, and find that the refugees can live there if their offer sacrifices to a big monster. You go back through the cave, but a different route, and find the sacrificial chamber area. You kill the monster, which turns out to be a robot, being controlled by the Crono and Marle of that dimension. They tell you that the about-to-be-sacrificed girl is there daughter. She decides to join your party, and thus ends the demo.
I'll post Alex's quest a little later.