Where does “nonworking” come from?

I can't write this etymology because the chain provided appears corrupted or contradictory—it jumps between "working," "work," and "nine/novem" without a coherent path, and lists some languages multiple times in illogical order. Could you verify the chain? A valid etymology for "nonworking" should trace through English consistently (e.g., English nonworking ← English working ← English work ← [origin]).

nonworking (English): That does not work or function; Not employed

Definitions

  1. That does not work or function; Not employed

Ancestry of “nonworking”, step by step

StepLanguageWordMeaning
1EnglishworkingOperation; action; Method of operation; The...
2Middle Englishwerking
3Old Englishwyrċingworking, doing
4Old English-ingForming nouns from verbs, indicating action,...
5Old English-tūnhomestead, village, town
6Old Englishtūnenclosure, yard; place; dwelling
7Proto-West Germanictūnfence
8Proto-Germanictūnąfence; enclosure
9Gaulishdunumfort; hill, hillfort
10Proto-Celticdūnomstronghold, rampart
11Proto-Indo-Europeandʰewh₂-smoke; mist, haze
Every word from Proto-Indo-European dʰewh₂-
nonworking — Etymology, Origin & Word History | Etymology Explorer