I do not know the first name of Anna von Asbeck's mother, but her father was definitely not Heinrich! Anna's husband's (Gert von der Recke) father-in-law was Johann von Asbeck as stated in a document from 1516/17. Her mother seems to be a daughter of a Stael zu Loburg, Sutthausen, Gretesch and Iburg. (This branch seems to have not used the "von Holstein" although they belong to the same family.) That is because Wilhelm Stael zu Sutthausen and Rheine, Domherr zu Münster (†1535) left parts of his inheritance to Anna's descendants and her brother, Johann, and his family, according to Wilhelm's last will (1534). That is why I believe that her mother was a sister of him. Thus, her parents are probably Wilhelm Stael zu Sutthausen, Gretesch and Iburg (fl. 1438-83) and Gertrud von Baer.