Where does “Katarīna” come from?

Katarīna (Latvian) comes from Ancient Greek Αἰκατερίνη, from Ancient Greek Ἑκάτη, from Ancient Greek ἑκάς, from Ancient Greek ἕ, from Proto-Hellenic hwe, from Proto-Indo-European swé — self.

Ancestry of “Katarīna”, step by step

Step	Language	Word	Meaning
1	Ancient Greek	Αἰκατερίνη	—
2	Ancient Greek	Ἑκάτη	Hecate
3	Ancient Greek	ἑκάς	afar, far off; long after
4	Ancient Greek	ἕ	him
5	Proto-Hellenic	hwe	—
6	Proto-Indo-European	swé	self

Every word from Proto-Indo-European swé →Every word from Proto-Hellenic hwe →Every word from Ancient Greek ἕ →