Haughty
mid 16th century: extended form of obsolete haught, earlier haut, from Old French, from Latin altus ‘high’.
wiktionary
From earlier hauty, haultic, with spelling change in imitation of English naughty and English high, from Middle English hautein, hautain (with -ein, -ain becoming -y through the form hautenesse standing for *hauteinnesse; see haughtiness), from Middle English haute(“self-important”), from Old French haut, hault(“high, lofty”), from Frankish *hauh, *hōh(“high, lofty, proud”) and Latin altus(“high, deep”). More at high, old.
etymonline
haughty (adj.)
"proud and disdainful," 1520s, a redundant extension of haught (q.v.) "high in one's own estimation" by addition of -y (2) on model of might/mighty, naught/naughty, etc. Middle English also had hautif in this sense (mid-15c., from Old French hautif), and hautein "proud, haughty, arrogant; presumptuous" (c. 1300), from Old French hautain. Related: Haughtily.