In The Fellowship of the Ring the group meets the Lady of the Woods during their trip. But who is she and what's her relationship with the rest of the elves. For example Legolas didn't look like he knew anyone when they encountered the Lady's henchmen in the wood, so I'm confused.
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.