Where does “stillbirth” come from?

I need to carefully analyze this etymology chain, but I notice a significant problem: the chain provided doesn't actually connect to "stillbirth" — it traces "still/distil/byrþen/stilus" back through Proto-Indo-European bʰer- (meaning "to carry/bear"). However, "stillbirth" would come from "still" (motionless) + "birth," where "still" traces to Old English "stille" (motionless, quiet), not from the "stilus" (stylus/pointed instrument) line shown in the chain. The chain as given appears to be for a different word entirely, not "stillbirth." Given the instruction to "state only what the chain supports" and "do not invent," I cannot write an accurate sentence because the chain doesn't support the etymology of "stillbirth." Could you verify the chain is correct for the headword "

stillbirth (English): The birth of a dead fetus; the delivery of an...

Definitions

  1. The birth of a dead fetus; the delivery of an...

Ancestry of “stillbirth”, step by step

stillbirth traces back through two separate lines of ancestry.

via English still

StepLanguageWordMeaning
1EnglishstillNot moving; calm; Not effervescing; not...
2Old Englishstillanbecome calm, abate, subside; calm, pacify,...
3Proto-West Germanicstillijanto make still, quiet
4Proto-West Germanic-janCreates denominative verbs from nouns; Creates...
5Proto-Germanic-janąDerives denominatives from nouns and factitives...
6Proto-Indo-European-yétiCreates intransitive, often deponent,...
7Proto-Indo-Europeanyé-
8Chichewaiyehe, she

via English birth

StepLanguageWordMeaning
1EnglishbirthThe process of childbearing; the beginning of...
2Middle Englishbirthen
3Old Englishbyrþenburden
4Proto-West Germanicburþiniburden
5Proto-West Germanicburþīburden
6Proto-Germanicburþį̄burden
7Proto-Indo-Europeanbʰēr-shiny, light brown
Every word from Chichewa iyeEvery word from Proto-Germanic -janąEvery word from Proto-Indo-European -yéti