c. 1300, from an unrecorded Old English word, or else from Old Norse froða "froth," from Proto-Germanic *freuth- "froth" (source also of Swedish fradga, Danish fraade). Old English had afreoðan "to froth," from the same root. The modern verb is late 14c., from the noun. Related: Frothed; frothing.
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).
<a href="https://www.etymonline.com/word/frothy">Etymology of frothy by etymonline</a>
Harper, D. (n.d.). Etymology of frothy. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/frothy