Old English giernan (West Saxon), geornan (Mercian), giorna (Northumbrian) "to strive, be eager, desire, seek for, beg, demand," from Proto-Germanic *gernjan (source also of Gothic gairnjan "to desire," German begehren "to desire;" Old High German gern, Old Norse gjarn "desirous," Old English georn "eager, desirous," German gern "gladly, willingly"), from PIE root *gher- (2) "to like, want." Related: Yearned; yearning.
<a href="https://www.etymonline.com/word/yearning">Etymology of yearning by etymonline</a>
Harper, D. (n.d.). Etymology of yearning. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/yearning