Your father, Theodore (probably called Fedko by his family) Hnatiuk, fairly common Ukr surname rooted in Greek masculine name Ignatius, was born in what is today ?????? ????? = Staryj Tarazh > Kremenetskij raion (county)> Ternopilska oblast (region) > Ukraine, zip code 47505.The selo/village was founded in 1463 and today exists in a cluster w/ Hnylyj Lis, Hrabnyky and Sinozhattya w/a total population of 1,066.
Father was born in the Interwar Period (1919-1938) when this region was under Reconstituted Poland's domain. Although ethnically he was Ukrainian, he was a Polish citizen and that very likely prevented his repatriation to Soviet Union post WW2.