Both Last Names At Birth could not be correct as she is known as daughter of Ida von Elsdorf with her father being possibly either one of the two husbands of her mother. If it was Liudolf, Graf im Derlingau and Markgraf in Friesland, he would be a member of the Brunonen family. The second husband according to Jackman (D.C. Jackman, Canes palatini: Dynastic Transplantation and the Cult of St. Simeon, which I have not been able to check yet) was one Dedi of Saxony who died 1056. Have not been able to identify who that was supposed to be, in any case he was not a Babenberger or "von Stade".