Where does “etető” come from?

etető (Hungarian) comes from Hungarian etet, from Hungarian eszik, from Hungarian ész, from Proto-Turkic es — memory; mind.

Ancestry of “etető”, step by step

Step	Language	Word	Meaning
1	Hungarian	etet	causative of eszik: to feed
2	Hungarian	eszik	to eat; third-person plural indicative present...
3	Hungarian	ész	intellect, brains, mind, reason, judgment,...
4	Proto-Turkic	es	memory; mind

etető — Etymology, Origin & Word History | Etymology Explorer