His son, Henry III, was the first count known to have established his permanent residence there, as in a 1089 document, he is referred to as "comes Henricus de Lutzeleburg".
Tema poeg Heinrich III oli esimene krahv, kes teadaolevalt rajas sinna oma püsiva residentsi, kuna 1089. aasta dokumendis nimetatakse teda "comes Henricus de Lutzeleburg".