I had the same think happen last week, one of my three lyretails died. I found it behind the rocks first thing in the morning, but it wasn't discolored at all so it must have died just before that. Same thing, mouth open etc... but my lights hadn't come on so it wasn't attacking it's reflection. I did notice the day before it's breathing was a bit labored, so this wasn't totally unexpected.
It's been 3 weeks now since I got them, and the other 2 are doing fine (they already act like they will form a pair, both are currently females.) Not sure if i'll add another one, or if it's best to just leave it at two ... are they aggressive already when they're young?
Was your chromis aggressive towards the anthia? Perhaps yours just didn't make it through all the shipping stress, any idea how long the store had it? Almost every fish death I've had has been less than 2-3 weeks from being flown in to the store..