You may try the Croatian State Archives, Marulić square 21, 10000 Zagreb, Croatia. OIB: 46144176176 Tel: +385 1 4801 999, Fax: +385 1 4829 000, email: info@arhiv.hr
Hi Lisa, have you tried asking the church in Vrbovec?
St. Vitus Church
St. Vitus Church in Vrbovec, Croatia
Address: Ul. Krste Frankopana 2, 10340, Vrbovec, Croatia
Phone: +385 1 2791 226
Email: zupa.sv.vid.vrbovec@gmail.com
I believe book that contains the year of 1885 was just recently sent to Archdiocese archive in Zagreb. You can email them at srazum@arhiv.hr .
On this page you will find the church book from Vrgorac that you are looking for: https://www.familysearch.org/en/
Here is a direct link to Croatia, Church Books, 1516-1994-Roman Catholic (Rimokatolička crkva) Vrbovec- Births (Rođeni) 1878-1895, but I don't think it will work because you have to be registered to be able to view the records.
https://www.familysearch.org/ark:/61903/3:1:3QS7-L99X-KW5M?wc=9R2H-...
Hi Lisa, have you try on Family Search at https://www.familysearch.org/search/image/index?owc=9R29-166%3A3916...