Paleontologiests Michael S. Engel and Dong Ren first studied and described S. magia and the co-occurring Ororaphidia and in 2008, publishing the type description in the Journal of the Kansas Entomological Society volume 81.

The fossil was recovered from outcrops of the Escucha Formation in Moraza, part of the Province of Burgos in Northern Spain.

hispanica was first studied by group of paleoentomologists led by Ricardo Pérez-de la Fuente of the University of Barcelona and including Enrique Peñalver, Xavier Delclòs, and Michael S. Engel.

[2] Pérez-de la Fuente and coauthors tentatively placed the species into Styporaphidia based on the presence of two crossveins in the pterostigma.

[2] The holotype female for S. willmanni, CNU-RAP-LB-2017107 is preserved in the Capital Normal University College of Life Sciences collections in Beijing.

The partially complete specimen is missing the distal half of the abdomen and most of he fore and hind wings on the left side.