The state had to pay a $100,000 deductible. Insurance covered the other $176,000. The Burton family also donated $150,000 towards the re-build cost...so really the state is ahead of the game. Supposedly there were some "optional" improvements the state made as well that Insurance didn't cover. Even with those improvements costing additional money, the state should still have had extra money left over from the donations (there were also another $12,000 in donations from other people).
Not sure what kind of apology people are looking for, but $150,000 is pretty generous and more than covered the state's share of costs towards the re-build.
Edit: Those were initial projected costs above, actual total costs came in closer to $370,000, but the state was only responsible for a total of $130,000 ($100K deductible + 30K in optional upgrades not covered by insurance). After accounting for donations, the state still had a surplus of over $30K.
In my world, if one is 100% liable for an incident then they pay 100% of the damages. Ideally, the State should have pursued them for damages and should have had them make right the wrong. The facts here were pretty convincing that the Burton kids were 100% at fault for the fire. They revved the stove and left it. Completely stupid.
I also thought I read in here that the State would NOT allow them to pay for it all because they did not want to "owe" the Burtons anything or something like that.
That said, this probably isn't over. The State's insurer has the right to go after the Burtons and their respective insurer(s) in subrogation. I imagine that is more politically acceptable.