Who is the Lady of the Wood, and what's her relationship to the rest of the elves?

The elves in the woods were the elves of Lothlorien, ruled by Celeborn and Galadriel (also known as the Lady of the Wood).

Legolas on the other hand is a prince of Mirkwood, a completely different forest realm. So it's not that surprising that Legolas doesn't know anyone there.

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