Perhaps when Gandalf was lying naked on the mountain top not quite dead or alive his 'grey mist' wasn't as strong as usual? It's possible (in my embarrasingly un-Tolkien-educated mind) that at that time when he was not in full control of himself that Galadriel was able to see him from afar. Or at least to feel his presence, and that would cause her to send out a searcher, for if he were truly fallen, than wouldn't she be unable to feel his presence in ME?
*And then she bows and as she turns to leave, this wonderful group points out the flaws in her thought processes, and she is humbled. Very forcefully*
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