The ownership of the land appears obscure, variously passing into the hands of the Diocese of Passau in Bavaria, the nearby Schottenstift, and Viennese families. From 1302, the church was owned by the "Herren von Greif". Between 1330 and 1355 a new choir was constructed and was probably conceived as a family burial ground. In 1409, the church became a more permanent part of the Passau diocese, giving its name to the surrounding precinct (Passauer Platz) and remained an enclave when the Archdiocese of Vienna was established in 1469.