Olive
Middle English: via Old French from Latin oliva, from Greek elaia, from elaion ‘oil’.
wiktionary
From Middle English olyve, from Old French olive(“olive, olive tree”), from Latin olīva(“olive”), from Etruscan 𐌄𐌋𐌄𐌉𐌅𐌀(eleiva) or Proto-Greek *ἐλαίϝα(*elaíwa), ultimately from Proto-Indo-European *loiwom (compare Old Church Slavonic лои(loi, “tallow”), Old Armenian եւղ(ewł, “oil”)). [1] Displaced native Old English eleberġe, literally "oil berry."
etymonline
olive (n.)
c. 1200, "olive tree," from Old French olive "olive, olive tree" (13c.) or directly from Latin oliva "olive, olive tree," from Greek elaia "olive tree, olive," probably from the same Aegean language (perhaps Cretan) as Armenian ewi "oil."
Applied to the fruit or berry of the tree in English from late 14c. As the color of the unripe olive from 17c. Olive branch as a token of peace is from early 13c., an allusion to the olive leaf brought by the dove sent out by Noah from the ark. Olive oil "oil expressed from the pulp of the common olive" is by 1540s (Oliue oyle). In early writings oil of olive(s) was more common.