Dol Amroth (Sindarin for Hill of Amroth) is the largest city in Western Gondor. It is governed by the prince of Belfalas, Imrahil, and is home to the famed Swan Knights, the finest cavalry in the realm of Gondor. Situated atop the high cliffs at the western cape in the Bay of Belfalas, the city's high walls and underwater chains protecting the sea gate have never fallen. The inner part of the bay to the northeast of Dol Amroth is named Cobas Haven, currently under siege by Corsairs of Umbar. The men living in Dol Amroth are Dúnedain of the South, descendants of Númenor of old, and their rulers, the princes of Dol Amroth, are rumoured to have Elf-blood in their veins.
In recent days, the beacons of Gondor have been lit, signalling an attack on Minas Tirith, the White City, capital of the Realm. Imrahil has led most of Dol Amroth's fighting force to aid Steward Denethor, and now his daughter Lothíriel rules the city in his stead.
One of the quests you can get in the Docks instance is Dol Amroth - Docks - The Fleet of Gondor - to restore statues. What you find, as you search around the docks, are decorative plinths, with no statues atop them. Mousing over them yields the description, "A broken statue of a boat."
"A boat," indeed!
When you restore the statue, you see that it is a stylized representation of a sailing ship with a star atop its mast. The same statues can be found in Annúminas. That boat is a representation of Vingilot ("Foam-flower"), the ship of Eärendil, on which he sailed to Aman to beg the Valar for aid in the war of Elves and Men against Melkor (Morgoth) at the end of the First Age. His wife Elwing took the form of a sea-bird and joined him on his journey after the destruction of their home, bearing the last Silmaril which her grandmother Lúthien had won. Their children, Elrond and Elros, remained in Middle-earth.
When they arrived in Aman, Eärendil went alone into Valinor, risking his life by setting foot in the Blessed Land, and heard a great voice crying:
"Hail Eärendil, of mariners most renowned, the looked for that cometh at unawares, the longed for that cometh beyond hope! Hail Eärendil, bearer of light before the Sun and Moon! Splendour of the Children of Earth, star in the darkness, jewel in the sunset, radiant in the morning!"
So Eärendil gained the aid he sought, and the Valar took his ship and set the Silmaril atop its mast, and set him to sail the air of Middle-earth till its ending, bearing a shining sign of hope at morning or evening.
Cf. The Silmarillion, Chapter 24, "Of the Voyage of Earendil and the War of Wrath."