http://fmg.ac/Projects/MedLands/FRANCONIA.htm#HeinrichLaufen1067MId...
[Four] siblings. Their parents have not been identified. As noted below, a continuator of the Gesta Treverorum names the parents of Bruno Archbishop of Trier as "pater Arnoldus comes ex nobilissima Adeleyda matre"[1329]. The reliability of this source is not known, and in any case it is not known whether all Bruno’s siblings shown below shared both parents with Archbishop Bruno.
This Geneanet tree, which seems very well documented, has his parents as Arnold & Adelheid, which seems to match the text at Medieval Lands. This is enough for me to conclude that this Geneanet profile is accurate.
//gw.geneanet.org/rodolfoweber?lang=en&pz=rodolfo&nz=weber&ocz=1&p=heinrich+ii.&n=von+lauffen