Where does “Badger” come from?

I appreciate the detailed instructions, but I notice there's a significant problem with the assignment: the etymology chain provided traces "over" (from Old English ofer through Proto-Germanic uber to Proto-Indo-European upér/upo), but the headword is "Badger" with unknown meaning. These don't match. I cannot write an accurate etymology sentence connecting "Badger" to a chain about "over/above." Could you provide: 1. The correct etymology chain for "Badger," or 2. Confirm the correct headword for the "over" chain (which would be "Over")? I want to follow your rules precisely, but I cannot invent a connection between mismatched terms.

Badger (English): A native or resident of the American state of...

Definitions

  1. A native or resident of the American state of...

Ancestry of “Badger”, step by step

Badger traces back through 3 separate lines of ancestry.

via Middle English bageard

StepLanguageWordMeaning
1Middle Englishbageardmarked by a badge
2Middle EnglishbageAlternative spelling of bagge; badge
3EnglishbadgeA distinctive mark, token, sign, emblem or...
4Middle Englishbadge
5Anglo-Normanbage
6Proto-Germanicbaugaza bend; bow
7Proto-Indo-Europeanbʰewgʰ-to bend; curve, arch

via Old English ōfer

StepLanguageWordMeaning
1Old Englishōferriverbank, seashore, brink, edge, margin, border
2Proto-West Germanicobarover, above
3Proto-Germanicuberover; over, above
4Proto-Indo-Europeanupérabove; over
5Proto-Indo-Europeanupóunder, below
6Proto-Indo-Europeanh₃ewp-

via Old English Bæcg

StepLanguageWordMeaning
1Old EnglishBæcga personal name

Words derived from “Badger

Every word from Proto-Indo-European bʰewgʰ-
Badger — Etymology, Origin & Word History | Etymology Explorer