Within the family, Karl (Lambert) Gräff claimed the following titles and honors from the extinct Herren von Graben, as whose heir he saw himself: Burggraf von Saldenhofen (Vuzenica), Herr von Kornberg, Marburg (Maribor/Marburg an der Drau), Obermarburg, Radkersburg, Neudenstein, Weinberg, Graben, Patrizier von Amsterdam.
It is not known whether Karl claimed the titles himself or inherited them from his father Ferdinand Gräff (* 1814) after his death. Due to his childless life as a priest, he bequeathed this claim to his second cousin, Josef Gräff (1886–1950).