Where does “banieczka” come from?

banieczka (Polish) comes from Polish bańka, from Old Polish bańka, from Old Polish bania, from Proto-Slavic baňa, from Latin bāneum, from Latin balneum, from Ancient Greek βαλανεῖον, from Ancient Greek βᾰλᾰνεύς — bath-man.

Ancestry of “banieczka”, step by step

Step	Language	Word	Meaning
1	Polish	bańka	can, churn
2	Old Polish	bańka	ventouse
3	Old Polish	bania	round necked vessel sometimes in the shape of a skull
4	Proto-Slavic	baňa	bath, bathing, bathing place; dome; bulging,...
5	Latin	bāneum	attested in Pompeii
6	Latin	balneum	bath, bathing place, bathroom
7	Ancient Greek	βαλανεῖον	bath, bathing room; bathhouse
8	Ancient Greek	βᾰλᾰνεύς	bath-man

Every word from Ancient Greek βᾰλᾰνεύς →Every word from Ancient Greek βαλανεῖον →Every word from Latin balneum →