Where does “haughtily” come from?

I need to work through this etymology chain carefully, but I notice there's a significant problem: the chain provided doesn't actually support "haughtily" as presented. The chain shows: - English haughty → Old English -līċ → Middle English -nesse → Old English -nes → Latin altus → PIE h₂el- → PIE ḱóm This chain is incoherent. It jumps between word parts and doesn't form a logical etymological path to "haughtily." The elements listed (suffix -līċ, suffix -nesse, suffix -nes) don't chain together properly to build the word "haughtily." To write an accurate one-sentence origin summary, I would need a proper chain showing how "haughtily" derives through actual intermediate forms—for example, something like: English haughtily ← English haughty +

haughtily (English): In a haughty manner; with excessive or...