Now stop it you guys!
You'll have poor krzysztofie's head spinning.
They've gone off on a tangent, krzysztofie, something that often happens around here.
polish means to bring a shine to as in : "Here is a cloth, polish the table." whereas Polish (capital P) is a language. polish can also mean to refine behaviour.
Finishing can mean to bring to best conclusion, and can mean a school young women could attend to learn the nicities of etiquette thereby "finishing" the education a lady needed to take her place in society. The schools were private and required a fairly sizeable outlay of money for tuition - so the young ladies who aspired to be finished were generally "well off" financuially. It is an old fashioned idea mostly tied to the days when women hoped for marriage, motherhood, running a home, managing servants, socializing to promote the husband career and/or ambitions.
Thankfully, more careers than housewife, schoolteacher or skivvy are open to women today! No longer have to marry to gain a place in "society."
Talk about tangents ! Whew ... I may have just set a record!