I think any name you do from HP or LOTR, people are going to know that you got it from HP and LOTR. And when your kid is grown up, their friends are going to ask how their parents came up with such a unique name, and they are going to answer sheepishly it was from some cult book everybody read during their time. Not that the names in the books aren't cool, just that you have to think about these things in the long run.
Actually, I think that there are a lot of meaningful names in both sagas and that's what attracts people. Most of the names for HP are from Greek Mythology (Minerva, Rubeus, Argus, Andromeda, Bellatrix, Narcissa, Remus, etc etc etc), or are star names (Sirius, Orion, etc) or folklore names ( Flawkes and i really can't recall any right now). Anyway i think that most of them are completely impossible to use (especially the ones i like)*sighs*