Where does “Rómeó” come from?

Rómeó (Hungarian) comes from Italian Romeo, from Latin romaeus, from Ancient Greek ῥωμαῖος, from Ancient Greek -αῖος, from Ancient Greek -ῐος, from Proto-Indo-European -yós — Creates adjectives from noun or verb stems.

Ancestry of “Rómeó”, step by step

Step	Language	Word	Meaning
1	Italian	Romeo	Roman
2	Latin	romaeus	Romaean, Byzantine
3	Ancient Greek	ῥωμαῖος	Roman
4	Ancient Greek	-αῖος	Suffix added to nouns or adjectives, forming adjectives: pertaining to, belonging to ("of")
5	Ancient Greek	-ῐος	belonging to; of”, “belonging to”, “pertaining to
6	Proto-Indo-European	-yós	Creates adjectives from noun or verb stems

Every word from Proto-Indo-European -yós →Every word from Ancient Greek -ῐος →Every word from Ancient Greek -αῖος →