Here's one for Eowin, although I don't know the real title:
"Oh how I wiiiiiish to be FREEEEEE!" - lion king

Those interested, also check out this thread: Songs of our times that remind you of LotR :) There are, among everything else, for example my explanations why Dido's My Lover's Gone is a theme song for Amarië and why Windmills by Blackmore's Night fits Túrin and Níniel perfectly. ;)

Luthien to Beren - "No one but you - Only the good die young" by Queen
Melirot Brandybuck - "Ring around the Rosy"
Sam and Frodo in Mordor - "These are a Few of my Favorite Things" from The Sound of Music
Hurin Thalion, and also Gandalf talking to Saruman - "Blackbird" by the Beatles
Eowin - the song fro Lion King which name I can't remember that goes like this: Oh I can't waaaaaait to be freeeee!

You're probably talking about I Just Can't Wait To Be King which might be a bit weird for her. I mean, she doesn't come across as one who wanted to rule others. ;)