Totally illogical. You don't fight fire with fire, you fight it with water. The statement "Lucca can control fire" is utterly baseless, not to mention Lucca invented an Ice Gun precisely for these kinds of accidents. As for keeping real guns in many places in the house... Come on! it's an orphanage! She'd be awfully careless to put guns at children's disposal.
It's a different thing when Lucca controls magical fire, not real fire. And I'm not even saying she put it out. The fact is that she could summon fire on Lynx at any moment and own him, and it's not baseless unless you're denying her of her innate >_>
Secondly, the point of an ice gun would probably serve better for her kids to use incase a fire started, and Lucca was away, or if Lucca had a little fire somewhere.
And as for keeping guns - Lucca was making guns and selling them to poor -.- Where else do you think she held her inventions. An orphanage is a totally great idea where to hide your stuff and not have the government know that you're making stuff behind their back. And the fact that Lucca would hide them makes sure that it wouldn't be at the children's disposal. Lucca knows that people are after her, so she'd probably even have one on her.
Lucca is powerful, but she never fought anyone alone by herself. She always had one or two heroes of time to fight alongside her. In 1,015 AD, the situation was reversed for the first time. She was alone, and Lynx had the 7th Dragon God herself with him, an army of Lava Boys with him, and a bunch of children to take in hostages or as human shields.
True, true. But that only supports my idea that Crono and co aren't invincible because that was my argument after all.
As for Harle, she probably didn't have anything to do with it. Kid stood there and watched the whole event, and never did she say that she wanted revenge upon Harle; only on Lynx.
As for the children, the majority were in other rooms, only Kid was in that room where Lucca was, and it doesn't seem like Lynx to use hostages or human shields when he fights so independently, knowing that he is strong (think back to Fort Dragonia)
EDIT: And don't forget the glasses. It's hard to shoot fireballs accurately when you're short-sighted and your glasses are lying broken on the floor.
Umm, I had always assumed that her glasses were lying broken on the floor after she was kidnapped/defeated. Unless Lynx was very powerful and like hit her in the face and got them thrown off, I had always thought that after he had defeated her, he either picked her up or whatever, and her glasses fell off.