Lothíriel’s curiosity about Éomer has been increasing ever since she heard a tale of him at the wedding of Aragorn and Arwen.
'While you are here in the city, I would ask of you some assistance with a rather… delicate matter. You see, when I was at the king's wedding this past summer, I happened to hear a tale of the Rohan Lord, Éomer. This naturally made me quite curious about the Rohirrim.
'I wonder if you might do me the favour of speaking with Nosseth and Naremil in the Library of Saphadzîr. Ask them to show you anything that might be relevant about Rohan and its leaders. Do not tell them that it is I who asks. We do not need to start tongues wagging for no reason.'
Lothíriel has asked you to speak with Nosseth and Naremil in the Library of Saphadzîr.
The Library is in Dol Amroth.
Nosseth and Naremil have told you to look for books on Rohan on the second floor of the southern wing of the the Library of Saphadzîr.
The Library is in Dol Amroth.
You managed to find a few books referring to Rohan for Lothíriel. You should bring them to her in the Court of the Prince, in Dol Amroth.