I was searching something in the Encyclopedia of Arda and found this:
So this makes me think that they didn't live there in the Second Age. And somewhere I read that Galadriel often was in the Grey Havens, but if I've messed up something, please tell me. So the question is, where did they live during the Second Age?
After the War of Wrath and the destruction of Beleriand, most of the Noldor returned to Valinor, but Galadriel and Celeborn remained in Middle-earth. After the loss of Amroth in 1981 (Third Age), Galadriel and Celeborn became Lady and Lord of Lothlórien, and there they dwelt until the end of the Third Age.
So this makes me think that they didn't live there in the Second Age. And somewhere I read that Galadriel often was in the Grey Havens, but if I've messed up something, please tell me. So the question is, where did they live during the Second Age?

