Really.... I'm new to the game and forums, but is there no one that makes official ruling for these kind of questions before they get out of hand. I'm used to playing warmachine hordes, and when a serious question is asked, if a official ruling is not already made, one gets made. My reason for why it would get burning before dieing is that there are already special action and rules that happen before death, such as dropping scheme markers. So normally one is damaged, and if enough damage occurs, then you die. But with her trigger you are damaged, then get burning, if enough damage occurs then you die.