Cheril, do you know the way this surname passed from the Cyrillic spelling to the Latin one?
I ask, because Ukrainian has no word Zibulya (so what would the surname mean?).
But it has the word for onion which begins from Ц pronounced "ts".
If the surname passed through German it may explane your spelling,as German pronounces "Z" as "ts".
It is possible the search for TSIBULSKY will be more successful.