I arrived at Windstad to drop off some food for my housecarl, steward and bard. Having finished within the house, I stepped outside and walked right into a bandit attack! Storm was being chased by the bandit leader, and having my hands full with three other bandits (everyone else was inside

Finishing off the bandit lackeys, I charged down the hill in the hope of saving my horse. The fact the bandit leader was headed back up the hill didn't bode well, which made me rather angry. I immediately immolated him with YOL TOOR SHUL

It being night, I had to search carefully amongst the marsh bracken and rocks, but I eventually found my dappled companion -- dead by the water's edge. Saddened, I headed back to the house to ask Brelyna to find me a new horse. She wasn't inside, so I went back out to the front of the house, and -- lo and behold - there stood Storm, right next to the stable!
Ok, narrative over. Are Hearthfire horses immune to death?