Where does “eyeball” come from?

I notice the chain provided appears to contain repetitions and doesn't form a coherent etymological path for "eyeball." The chain lists "English billion," "English black," and "Ancient Greek βάλλω" in a unclear sequence. To write an accurate etymology sentence, I would need a clear, linear chain showing how "eyeball" developed through languages in chronological order (oldest to newest). Could you provide the correct etymological chain for "eyeball"? It should trace back through actual source languages with the word forms that led to the modern English term.

eyeball (English): the ball of the eye; a meeting; as a synecdoche,...

Definitions

  1. the ball of the eye; a meeting; as a synecdoche,...

Ancestry of “eyeball”, step by step

eyeball traces back through two separate lines of ancestry.

via English Ball

StepLanguageWordMeaning
1EnglishBallsurname
2Middle EnglishbalA ball; A rounded or spherical lump or bump,...
3Old Englishbeallball
4EnglishbealA small inflammatory tumor; pustule; To gather...
5Old Englishhyllhill
6Albanianhullifurrow
7Proto-Germanichullizhill
8Proto-Indo-Europeankl̥Hníshill
9Proto-Indo-EuropeankelH-to rise, to be tall; hill

via English Eye

StepLanguageWordMeaning
1EnglishEyeA place name
2English-someCharacterized by some specific condition or...
3Middle English-somsome; having a specific quality
4Old Englishsumsome
5Proto-West Germanic*sumsome
6Proto-Germanicsumazsome (one), a certain (one)
7Proto-Indo-Europeansem-together, one

Words derived from “eyeball

Every word from Proto-Indo-European kelH-