Hi Jana,
This name a[ppears more often on Australian records.... STARCEVIC.
From National Archives of Australia. This Naturalization file, plus passport files:
1933/970
Stjepan STARCEVIC - Naturalization
Access status: Open
1932 - 1933
PP9/4
STARCEVIC, STJEPAN
STARCEVIC, Stjepan - Passport and or travel documents
Access status: Open
Location: Perth
1927 - 1927
1335403
PP302/1
WA8754
Stjepan STARCEVIC
Access status: Not yet examined
Location: Perth
1933 - 1933
1661255
From Trove, newspapers:
Kalgoorlie Miner, Thursday 29 December 1932.
I, STJEPAN STARCEVIC, of Jugo Slavia nationality, born at Lie Hevatska, and resident five years and nine months in Australia now residing at No. 5 Camp. Kurrawang Western Australia, intend to apply for naturalization under the Nationality Act, 1920-1930.
Mary