What You Would Have to Show About the Equipment Owner
A statute that says someone "is liable" still requires proof of each piece it names. For a family trying to understand whether the owner of a machine answers for their loss, those pieces are the real questions.
Under section 13007, the questions follow the statute's words. Did the person, personally or through another, set the fire, allow it to be set, or allow a fire they kindled or attended to escape? Did they act wilfully, negligently or in violation of law? Did the fire reach someone else's property, and did it cause damage there?
Under section 13008, the questions are different. Was the fire burning on the person's own property? Did it escape to another's property? Did the person fail to exercise due diligence to control it? And did damage result?
Under Civil Code section 1714(a), the questions take the familiar shape of negligence, which simply means a failure to use ordinary care. A claim built on it generally asks four things: a duty, meaning the obligation to act with ordinary care; a breach, meaning that care was not used; causation, meaning the lack of care actually led to the harm; and damages, meaning a real loss such as a damaged home or an injury. A fuller walk-through appears on the page explaining what a wildfire claim must show.
Responsibility is not always one person's alone. Section 1714(a) itself contains an exception "so far as the latter has, willfully or by want of ordinary care, brought the injury upon himself or herself." California applies a rule called pure comparative fault, under which responsibility can be divided among more than one party, and an injured person's own share of fault may reduce a claim without necessarily ending it.
If you are weighing whether these conditions fit what you saw, the facts are what decide it: who started what, where, and how. Nothing in these statutes says that any particular owner is responsible for any particular fire. Timing is part of the picture too: this page notes a limitation period only for suppression-cost claims under section 13009, and when property and injury claims under sections 13007, 13008 and 1714(a) must be brought is a question an attorney can help sort out early.