Did Maedhros kill Laughter?

[Galadriel55]

Urwen, I understand that you will defend Lalaith by any means, and so would I - but don't blame Maedhros for her death! It's not like he took a sword and chopped her in half. If you ask me, it was Morgoth's fault, since it was his evil spell that made so many people sick. If you still blame Maedhros, you've also got to blame the people who told Morgoth about the plans of the elves. AND you have to blame Thingol, Odroreth (I know I got the name wrong - I mean Finrod's brother) and other Elven kings for sending so little troops. If that's still not enough blaming, blame the Valar (ie Mandos) for cursing every deed of Noldor, blame Feanor for making the Silmarili, blame Yavanna for creating the Trees whose light is the reason for the Silmarils to be so beautiful, blame Eru for creating his Children who would then kill each other... Well, you can't really blame anyone above Eru, so I'll have to stop at that. Do you see my point? Morgoth is the most direct and relevant cause for Lalaith's death, and it's not Maedhros's fault that the epidemic came at this specific time and killed this specific girl.

PS: the butterfly incident could happen to anyone - it was also an accident. If you want to prevent a thing like that, you have to spend your whole life in bed.