Lorien would be nice, yes - but can you imagine the number of times when someone would mishear and spell it 'Lauren'?
Many of the female names sound and look Welsh, or maybe Irish - Rían and Rómenna, for example, sound Celtic and Arwen, along with names like Bronwen, is actually a Welsh name. So if you like the sound of 'Tolkien-based' names, you could always consider lists of Welsh or Irish/Scottish traditional names (
Welsh here and
Irish here).
Oh, and just an endnote - I'm rather fond of Elentari. It sounds lovely and I love the meaning - imagine being called 'Queen of the Stars'...