You are so in luck! It looks like the relevant books are out on actapublica. Svatá Sidonie is in the Brumov na Blaře books, along with Bylnice. If Josef was 27 in 1902, then he was born about 1875. That is book 4028 in the Brno archives. It even has an index. However, the Josef Lisáček that I found is in Bylnice house 55, not 36. See the two attached pictures, the first of the index, the second of the actual record. And here is the link to that page in the book.http://actapublica.eu/matriky/brno/prohlizec/3858/?strana=71
His birthday is February 25, and his father is Jiři, the equivalent of George. Does that match yours?
Mary in Omaha