Where does “noonday” come from?

I notice the chain provided has problems: it lists "Latin nomen" twice, includes unrelated words (English "day" and "nine"), and lacks a coherent etymological path to "noonday." Without a reliable chain showing how "noonday" developed through earlier languages, I cannot write an accurate etymology sentence. Could you provide a corrected chain? A proper one would trace "noonday" back through Middle English, Old English, and potentially Proto-Germanic or Proto-Indo-European ancestors, showing the actual linguistic path for this compound word.

noonday (English): The time of noon; the time of day when the sun is...

Definitions

  1. The time of noon; the time of day when the sun is...

Ancestry of “noonday”, step by step

noonday traces back through two separate lines of ancestry.

via English noon

StepLanguageWordMeaning
1EnglishnoonThe ninth hour of the day counted from sunrise;...
2Middle Englishnoen
3Old Englishnōnnoon; the ninth hour; the ninth hour
4Latinnōnanones canonical hour
5Latinnōnusninth
6Latinnovenosaccusative masculine plural of novēnus
7Latinnovemnine; 9; first-person singular present active...
8LatinnovoI make new, renew, refresh; I alter, change;...
9Proto-Italicnowāō
10Proto-Indo-Europeannéweh₂tito renew
11Proto-Indo-Europeannéwosnew
12Proto-Indo-Europeannew-new; to nod, assent to

via English Day

StepLanguageWordMeaning
1EnglishDayderived from a medieval diminutive of David
2Middle Englishdayday; daylight, sunlight; epoch, age, period
3Old Englishdæġday, daytime
4Proto-West Germanicdagday
5Proto-Germanicdagazday; name of the D-rune
6Proto-Indo-Europeandʰegʷʰ-to burn; warm, hot
Every word from Proto-Indo-European new-
noonday — Etymology, Origin & Word History | Etymology Explorer