sindarin for "The Elfmaid's Lament"

Best I can come up with is:

i elleth glim nírol în

or:

i ellas glim nírol în

Literally: the elfmaid voice sorrowful hers

Suggestions for improvement? (Thanks!)

Just to be clear - i-Eledhes Naergon în is a phrase that refers to the maiden, not the lament. So, calling the inn with this name is equivalent to calling the inn “the maiden”; is that what you intend? Because the story you are telling gives me the impression that it was the lament that is important.