Your home is supposed to be the place where you can escape to. The place where you are safe and shouldn't need to escape from.
Again, I understand your position, but disagree with it. As long as you don't enter my home uninvited (or if you do immediately comply with my orders) or attack me outside my home you have nothing to worry about. I don't think you should be required to own a firearm and defend yourself. I think you'd be safer doing so but you have that choice.
You're saying, that, rather than call the police, leaving, and, waiting for them to show up (if she knew her house had been broken into) ... she should have needlessly put herself and children in harms way to investigate the situation herself and kill whoever is there, regardless of reason?