Did Maedhros kill Laughter?

[the phantom]

It's the fault of Lalaith's great great grandparents for moving to a location within plague range of the most evil spot in all of Arda. It's the fault of the elves living up there for inviting the mortals to move there. It's the fault of the Valar for letting Morgoth loose. It's the fault of Eru for creating Morgoth. It's the fault of Morgoth himself for releasing the plague.

After all of that, it's difficult to give any sizable portion of blame to Maedhros. But I'll try, darn it! Or at least I would if it weren't for the fact that he is incredibly cool.

Plus- Turin didn't die, did he? Did Morwen? No. They were strong. Lalaith, on the other hand- she was a victim of her own weak nature, and was deservedly removed before she could drag down her mighty family.