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.
oi
noun. bird, hen
oive
noun. bird
oi(we)
noun. bird
aiwe
noun. bird
wilin
noun. bird
A noun in the Qenya Lexicon of the 1910s glossed “bird”, derived from the early root ᴱ√GWILI that was the basis for words having to do with flight (QL/104).
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.
The word ᴱQ. oi “bird, hen” appeared in the Qenya Lexicon of the 1910s under the unglossed early root ᴱ√OHO, but Tolkien considered transferring this and related words to ᴱ√OHO “cry” (QL/69). This word also seems to have appeared in an inflected form oïkta in the very early Narqelion poem.
Conceptual Development: In Early Qenya Word-lists of the 1920s, Tolkien had ᴱQ. oi and oiwe “bird” (PE16/132), forms that later developed into Q. aiwë “bird”. However, many years later in Common Eldarin: Noun Structure from the early 1950s Tolkien had the primitive word ✶kholjē “hen” derived from the root √KHOL “crow, cry aloud”, which seems to be a later iteration of the early oi “hen” word.
Neo-Quenya: Based on ✶kholjē, Gábor Lőrinczi proposed a neologism ᴺQ. holyë “hen” as recorded in the VQP (VQP). I would treat holyë “hen” as exclusively feminine, as opposed to ᴺQ. porocë which can be used both of hens and of chickens generally.