There are more words but they are from Tolkien's earlier conceptional periods. Tolkien likely changed these words as he evolved the aesthetics and completeness of the languages. You may even find languages that Tolkien later rejected. Do not mix words from different time periods unless you are familiar with the phonetic developments.
silme
noun. moonlight, light of Silpion, †silver
ilma
proper name. Starlight
nú
proper name. Moon
A name for the moon in linguistic notes from 1930s (PE21/38, 41), perhaps a derivative of the root ᴹ√NDŪ “go down”, though this root usually applied to the Sun. Its dual form Nunt referred to both the sun and moon (PE21/38).
Below: Tolkien's Late Period (1950–1973). These are from Tolkien's late conceptual period — his most settled forms of the languages. Prefer these over the earlier ones above when composing new text.
This name first appeared in Silmarillion drafts from the early 1930s as ᴹQ. Silma >> Ilma >> Ilmen as a name for the “Place of Light”, home of the stars (SM/240-1). It reappeared in the mid-30s as a word for “Starlight” (LR/205), and also appeared in The Etymologies as a derivative of ᴹ√GIL, alongside (and perhaps an element of) Ilmen “region above air where stars are” (Ety/GIL).