That's also possible, but I would be impressed if, for such a long period of time, the fairies remembered (a) what it was, (b) that they gave it to her, and (c) who she was whenever she took it off. Hell, I don't even remember if we were still wearing it by the end of Reisen Quest, and her description in the bar didn't include any mention of it.
We can simply go to bed if people want that; this isn't a big deal, and with the way things have gone in this topic I wouldn't begrudge anyone that doesn't really feel the need to indulge me in something like this. I'm just saying we have this chance to potentially gain extra info, and the opportunity cost appears very low, as it appears Renko is indeed done for the night and thus is no longer waiting on us. It seems like if worst comes to worst we go to bed twenty minutes later than we could have.