Where does “silently” come from?

I need to examine this chain carefully. The chain shows: English silent ← Latin silens ← Latin sileo ← Proto-Indo-European seyl- ← Proto-Germanic galīkaz ← Proto-Indo-European līg- ← Proto-Indo-European ḱóm ← Proto-Indo-European ḱóm However, there are problems with this chain: 1. The chain appears corrupted or illogical (Proto-Germanic galīkaz doesn't connect coherently to Latin sileo) 2. ḱóm appears twice at the end identically 3. The instruction says "State only what the chain supports. Do not invent dates, cognates, or intermediate steps." Following the rule strictly, I cannot manufacture a coherent etymology when the chain itself is inconsistent. A responsible etymology sentence cannot claim a logical derivation when the provided chain doesn't form one.

silently (English): In a silent manner; making no noise; Of an edit...

Definitions

  1. In a silent manner; making no noise; Of an edit...

Ancestry of “silently”, step by step

StepLanguageWordMeaning
1English-lyUsed to form adjectives from nouns, the...
2EnglishgrislyHorrifyingly repellent; gruesome, terrifying;...
3Middle Englishgrisely
4Old Englishgrisliċgrisly, horrible; dreadful, horrid
5Old English-līċsuffix forming {{glossary|adjective}}s meaning...
6Proto-Germanic*-līk
Every word from Proto-Germanic *-līkEvery word from English -lyEvery word from Old English -līċ
silently — Etymology, Origin & Word History | Etymology Explorer