Arwen was a distant relative of her husband Aragorn. Aragorn's ancestor, Elros Tar-Minyatur, the first King of Númenor, was her father Elrond's brother, who chose to live as a Man rather than as one of the Eldar.
Aragorn is not half Elf, although he is a descendant of Elros, who is half Elf (and the brother of Elrond, the half-Elf who raised him), which explains why Aragorn's life span is unusually long.
She has no geneological relationship to Aragorn. Unless “grandmother-in-law” is a thing. Incidentally, Celeborn is Elrond's great-uncle on his mother's side which makes Galadriel his great aunt by marriage.
Legolas was the son of Thranduil, King of the Woodland Realm of Northern Mirkwood, who appeared as "the Elvenking" in The Hobbit. Thranduil, one of the Sindar or "Grey Elves", ruled over the Silvan Elves or "Wood-elves" of Mirkwood.
The actor is suffering from Legolas Syndrome — where you accidentally get cast into a role that suits you far more than your real-life looks, leaving you with a tricky predicament after the wrap party. Do you A) nick all the costumes and stay in character the rest of your working life, or B)
Arwen was her granddaughter
Galadriel and Celeborn had a daughter named Celebrian, who married Elrond and became the mother of Arwen (as well as her brothers, Elladan and Elrohir).
Arwen isn't necessarily dying because of the Ring, but now that she is mortal, she is dying through the slow decaying of time. Arwen also faces the same fate as all those in Middle Earth should the Ring Bearer fail his mission. So in that way, her fate is tied to the Ring.
Aragorn and Boromir, unrelated by blood but united in their love of Gondor, were the only two men who set out with the Company from Rivendell.
Aragorn was a Ranger of the North, first introduced with the name Strider and later revealed to be the heir of Isildur, an ancient King of Arnor and Gondor. Aragorn was a confidant of the wizard Gandalf, and played a part in the quest to destroy the One Ring and defeat the Dark Lord Sauron.
She was often called Arwen Undómiel or "Evenstar". In marrying Aragorn II Elessar after the War of the Ring, she became Queen of the Reunited Kingdom of Arnor and Gondor, and like Beren and Lúthien before her, she united Elf and Man in peace, while becoming mortal.
Aragorn died at the age of 210 by choice so that his son, Eldarion, could rule. Arwen didn't want Aragorn to die, because if he died so would she.
They are both elvish nobles, as Legolas is the son of King Thranduil and Arwen is the daughter of Elrond. They are both well-educated and would have known each other as the community of elves is quite small.
At this point Arwen has already given up her immortality, but now she grants the grace of the Eldar to Frodo, not giving him immortality since he is not one of the elves, but instead granting him a home in the undying lands when he does pass.
Aragorn and Legolas are long-time companions and best friends since Legolas' father Thranduil sent him to live among the Rangers of the North. Aragorn and Legolas grew close, up to the point where Aragorn revealed his true identity to Legolas. Throughout his journeys, Aragorn and Legolas are as close as brothers.
Yet no mortal can survive forever. And after their marriage, both Aragorn and Arwen are mortal. Arwen, therefore, could not set foot in the Undying Lands without special permission. And she wouldn't be likely to go after it in the end.
Unlike the other Rings, the main purpose of the Three is to "heal and preserve", as when Galadriel used Nenya to preserve her realm of Lothlórien over long periods. The Elves made the Three Rings to try to halt the passage of time, or as Tolkien had Elrond say, "to preserve all things unstained".
She has a vision of a child clothed in white running across her path. She watches as the boy runs with his arms outstretched to his father, an aged Aragorn, who picks him up with joy and kisses him. As the boy looks at her and she sees he is wearing the Evenstar, she knows the boy to be her child.
Yet, since Tolkien does give family trees for other important Elves in the book, such as Galadriel and Elrond, it's clear that Galadriel is not Legolas's mother. (Besides, she is one of the Noldor, not a Silvan or Sindar Elf.)
Together, the two of them were known as the Blue Wizards. The one in brown was Radagast and the one in grey was Gandalf, seemingly the oldest and the least of the Order.
The Elven Queen of Mirkwood, or Thranduil's wife, was a female Elf married to King Thranduil, therefore being the Queen of Greenwood as well as the mother of Legolas Greenleaf.
She already feels an outcast after Gil-galad tried to send her back to the Undying Lands, and she fears that if she reveals what she has done, it will be the final nail in the coffin. Instead, when Elrond pulls her from the river Glanduin, and she races back inside to Celebrimbor's forge, she chooses to stay silent.
I'm reading the fall of Gondolin and at one point the citizens of the city are fleeing over a plain, they are led by Legolas Greenleaf (page 100 in my book). At the same time the son of Tuor and Idril Eärendil, is 8 years old, he is also the father of Elrond.
While Hugo Weaving's Elrond looks a bit older than his peers, this is mostly to show the paternal relationship he has with Arwen (Liv Tyler). Galadriel is actually older than Elrond, but Cate Blanchett is depicted with an angelic presence that gives her eternal youth.