???i????????= Dzwiniarskiis a Polish surname and YES today there are still a handful of people w/this surname residing in Ukraine, mainly in Ternopil oblast/region.
By 1947-1948,Stalin, w/Communist Poland's agreement, resettled most ethnic Poles to Poland. Previous to this agreement many ethnic Poles had been sent to hard labor in Siberia, Donbas & Kazakstan. Those who survived returned in the early fifties and were not resettled.
You will need to look into PUR Collection in order to ascertain where your Polish family may have been resettled.http://www.halgal.com/pur_home.htmlhttp://www.halgal.com/pur_home.html
Additionally, I suggest that you check out RC Church Registers for Mikulince for your Dzwiniarski ancestors.Ladychyn was predominantly a Ukrainian village and only had a Greek Catholic Church.The filial RC Parish was in Mikulince.These are available online at nominal cost: https://familysearch.org/search/catalog/387264?availability=Family%20History%20Library