adjective suffix, "full of or characterized by," from Old English -ig, from Proto-Germanic *-iga- (source also of Dutch, Danish, German -ig, Gothic -egs), from PIE -(i)ko-, adjectival suffix, cognate with elements in Greek -ikos, Latin -icus (see -ic). Originally added to nouns in Old English; used from 13c. with verbs, and by 15c. even with other adjectives (for example crispy).
"something fantastically curved or twisted," 1843, American English, from combining form of curly. The cue is perhaps from French queue "tail" or an image from the letter Q in its looping script form. Earlier in this sense was the rhyming reduplication curlie-wurlie (1772).
<a href="https://www.etymonline.com/word/curly">Etymology of curly by etymonline</a>
Harper, D. (n.d.). Etymology of curly. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/curly