Where does “hookworm” come from?

I appreciate the careful setup, but I need to flag a significant problem: this etymology chain appears corrupted or malformed. The progression doesn't make linguistic sense: - "hook" doesn't appear in the chain at all - "wurm" and "wyrm" (worm) don't lead to "hook" - The chain repeats "Proto-Indo-European wer-" twice - The final PIE forms are fragmentary and unclear in their relationship to earlier terms - No meaning is supplied for any form, so I cannot trace sense development I cannot write an accurate one-sentence summary from this chain without inventing connections or steps you've explicitly forbidden me to invent. Could you verify the etymology chain? A proper one would need to show how "hook" + "worm" developed separately (or together), with each step clearly supported and meanings provided for sense development tracking.

hookworm (English): Any of various parasitic bloodsucking roundworms...

Definitions

  1. Any of various parasitic bloodsucking roundworms...

Ancestry of “hookworm”, step by step

hookworm traces back through two separate lines of ancestry.

via English hook

StepLanguageWordMeaning
1EnglishhookA rod bent into a curved shape, typically with...
2Swedishhöka hawk; a hawk; proponent of aggressive politics
3Old Swedishhøkerhawk
4Middle Low Germanhȫkerpeddler
5Old High Germanhuchan
6Proto-Germanic*hūkan-
7Proto-Germanic*hūkkan-
8Proto-Germanic*huk(k)ōn-
9Proto-Indo-European*kuk-néh₂
10Proto-Indo-Europeanḱewk-flare up, glow; white; to glow, burn, lighten

via English Worm

StepLanguageWordMeaning
1EnglishWormA generally tubular invertebrate of the annelid phylum; an earthworm
2Middle EnglishwormA worm or similar small wormlike animal that...
3Old Englishwyrmcreeping insect; maggot, grub, worm; snake,...
4Old Englishlēahmeadow; clearing with a pigsty; woodland,...
5Proto-West Germaniclauhclearing; meadow
6Proto-Germaniclauhazclearing; meadow
7Proto-Indo-Europeanlówkosclearing; open space, clearing; field, meadow
8Proto-Indo-Europeanlewḱ-lynx
9Proto-Indo-Europeanlewk-bright; to shine; to see

Words derived from “hookworm

Every word from Proto-Indo-European ḱewk-