What about [name]Willa[/name] [name]Selene[/name] or [name]Selena[/name]/[name]Selina[/name]? All mean moon (greek/spanish/english according to babynames.com).
Here are some other options:
[name]Artemis[/name] - greek goddess of the moon
Chantrea - cambodian, moon
Pensri - Thai, beauty and goodness of the moon
This has nothing to do with a name, but I came across this verse of a poem when I was looking for names referring to reflection of light in water and I thought you might appreciate it:
The sun was shining on the sea,
?Shining with all his might:
?He did his very best to make ?
The billows smooth and bright – ?
And this was very odd,
because it was ?
The middle of the night. ?([name]Lewis[/name] [name]Carroll[/name])