I've managed to find the passage that suggests that to me....
Quote:
But Aragorn said: 'I saw also what you say, Eomer. Few other griefs amid the ill chances of this world have more bitterness and shame for a man's heart than to behold the love of a lady so fair and brave that cannot be returned. Sorrow and pity have followed me ever since I left her desperate in Dunharrow and rode to the Paths of the Dead; and no fear upon that way was so present as the fear for what might befall her. And yet, Eomer, I say to you that she loves you more truly than me; for you she loves and knows; but in me she loves only a shadow and a thought: a hope of glory and great deeds. and lands far from the fields of Rohan.'
But Aragorn said: 'I saw also what you say, Eomer. Few other griefs amid the ill chances of this world have more bitterness and shame for a man's heart than to behold the love of a lady so fair and brave that cannot be returned. Sorrow and pity have followed me ever since I left her desperate in Dunharrow and rode to the Paths of the Dead; and no fear upon that way was so present as the fear for what might befall her. And yet, Eomer, I say to you that she loves you more truly than me; for you she loves and knows; but in me she loves only a shadow and a thought: a hope of glory and great deeds. and lands far from the fields of Rohan.'
TROTK - The Houses of Healing
and later Faramir says to Eowyn
Quote:
You desired to have the love of the Lord Aragorn. Because he was high and puissant, and you wished to have renown and glory and to be lifted far above the mean things that crawl on the earth. And as a great captain may to a young soldier he seemed to you admirable. For so he is, a lord among men, the greatest that now is. But when he gave you only understanding and pity, then you desired to have nothing, unless a brave death in battle.'
You desired to have the love of the Lord Aragorn. Because he was high and puissant, and you wished to have renown and glory and to be lifted far above the mean things that crawl on the earth. And as a great captain may to a young soldier he seemed to you admirable. For so he is, a lord among men, the greatest that now is. But when he gave you only understanding and pity, then you desired to have nothing, unless a brave death in battle.'



) Sadly, in the movies it didn't clarify that ( the people who havn't read the books would probaly have no idea that Eowyn and Faramir "hitched up" in the end,too.. ).