Where does “Эхиме” come from?

Эхиме (Russian) comes from Japanese 愛媛, from Old Japanese 愛比賣.

Ancestry of “Эхиме”, step by step

Step	Language	Word	Meaning
1	Japanese	愛媛	—
2	Old Japanese	愛比賣	—

Эхиме — Etymology, Origin & Word History | Etymology Explorer