My feeling is that the story in RGEO is to condensded, to extract the times and movements accuratley. Further on it is written from an external perspective. (I do not remember the details, is it JRR Tolkien writing about Middle-Earth? Or did he employ some 'Translator-devise' in RGEO?) What it makes clear is that Galadriel comunicated with Eonwe or someone else in his train. But since the Eldar were able of communication by thought, she must not have been in Beleriand for this.
Thus I would say that Galadriel cross Ered Luin earlier and stayed in Eriador. The author of RGEO made a understandable mistake by assuming that for the conversation reported she would have to be in Beleriand (which is not true) and therefore assumed that she must have crossed the mountians later.
Respectfuly
Findegil
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