» Mon May 28, 2012 7:59 pm
I don't think it matters as the reward is always 3 random alchemy ingredients. This, like so many "options" in Skyrim, doesn't have any real impact in game terms, just in your own emotional terms.
This quest is also all sorts of buggy. If you find the necklace before talking to Narfi or the innkeeper it breaks the quest. If you talk to the Innkeeper after finding the necklace you get an option "Have you seen this necklace before?" and the innkeeper says a line that was clearly meant to be spoken by Narfi.