The word G. porogwil appeared in the Gnomish Lexicon of the 1910s as a combination of G. porog “fowl (domestic)” and G. uil “hen” (GL/64, 74).
Neo-Sindarin: I would adapt this word as ᴺS. porochuil for purposes of Neo-Sindarin, updating the second element to the neologism ᴺS. huil “hen”. The longer form is better distinguished from ᴺS. huil “bitch, female dog”.
An onomatopoeic root appearing in notes from the late 1960s with variants porok- and korok and the gloss “hen” (VT47/36). It seems to be a restoration of the form ᴱQ. poroke “barn fowl” from the Qenya Lexicon of the 1910s (QL/75) with Gnomish cognate G. porog “fowl (domestic)” in the contemporaneous Gnomish Lexicon (GL/64). ᴱQ. poroke “hen” reappeared in Qenya Word-lists from the 1920s (PE16/132), and primitive ✶porokĭ “fowl” and ✶porokē “hen” appeared in Common Eldarin: Noun Structure from the early 1950s (PE21/82). Thus this root seems to be a pretty enduring notion.