having all this family lore is sooooo goyishe. being ashkenazi jewish is like, our ancestors lived in this same shitty part of ukraine for hundreds of years and then fled because of pogroms to america the end.
out of my 4 grandparents: 2 from the same shitty part of Ukraine, probably not far from where yours were from (Dnieper river valley) 1 from the shitty part of Warsaw in Poland 1 from some shitty place that was called "White Russia" at the time and is probably Belarus today.