The primary source which confirms his parentage has not yet been identified. Graf von Haldensleben.
The name of Graf Konrad's wife is not known. Ernst Klebel proposes that she was --- von Friesland, daughter of Liudolf von Braunschweig Markgraf im Friesland & his wife Gertrud von Egisheim. The text in which this is proposed has not yet been consulted but it is assumed that the hypothesis is based on onomastics. The names of Konrad's daughter, Gertrud, and her granddaughter Ida were both associated with the Brunswick family. The affiliation is not chronologically impossible, although it is tight given the known birth dates of some of Konrad's descendants. 1