Where does “olge” come from?

olge (Middle High German) comes from Old High German oli, from Proto-West Germanic *oli, from Latin oleum, from Ancient Greek ἔλαιον, from Ancient Greek ἐλαία, from Proto-Hellenic elaíwā, from Proto-Indo-European loiwom.

Ancestry of “olge”, step by step

Step	Language	Word	Meaning
1	Old High German	oli	—
2	Proto-West Germanic	*oli	olive oil
3	Latin	oleum	olive oil; the palaestra
4	Ancient Greek	ἔλαιον	olive oil, commonly used as an anointing oil; any...
5	Ancient Greek	ἐλαία	olive tree; olive; naevus
6	Proto-Hellenic	elaíwā	—
7	Proto-Indo-European	loiwom	—

Every word from Proto-Indo-European loiwom →Every word from Proto-Hellenic elaíwā →Every word from Ancient Greek ἐλαία →