I have found two sources which show the Hohenstaufen linage, and both show this person as the daughter of Konradin (or Conradin) von Seuva, the illegitimate son of Conrad IV, (which I added today Konradin von Sueva ) not the daughter of legitimate son, Conrad.
Here are the two references:
http://wwww.genealogy.euweb.cz/hohst/hohenstauf.html which shows (partially):
F1. Friedrich II Roger, King of Germany (1197-1250), King Two Sicilies (1198-1250), Duke of Swabia (1212-16) =Friedrich IV, Emperor from 1220, cr in Roma, *Iesi 26.12.1194, +Castel Fiorentino 13.12.1250; 1m: Messina 1209 Constance d'Aragon (*1179 +Catania 1222); 2m: Brindisi 1225 Isabelle II de Brienne, Queen of Jerusalem (*1211 +Andria 1228); 3m: Worms 20.7.1235 Isabelle Plantagenet (*1214 +1.12.1241)
G1. [1m.] Heinrich VII, Duke of Swabia (1216-35), *1211, +Apulia 12.2.1242/Martorano 1248; m.Nürnberg 1225 Margarethe von Babenberg (+Burg Krummau 2.10.1267)
H1. Heinrich, +1242/45
H2. Friedrich, +1251
G2. [2m.] Konrad IV, Duke of Swabia (1235-54), King of Two Sicilies (1250-54), King of Germany (1250-54), *Andria 25.4.1228, +nr Lavello, Italy 21.5.1254; m.Vohburg 1.9.1246 Elisabeth von Wittelsbach (*1227 +9.10.1273)
H1. Konrad V (=Konradin), Duke of Swabia (1254-68), King of Sicily (1254-58), *Burg Wolfstein 1252, +beheaded Neapol 29.10.1268; m.Sophie von Landsberg (+1318)
H2. [illegitimate] Konradin, +hanged Lucera 1269; m.NN
I1. Attilda; m.Pietro Luca di Perrigrino
The other one is here :https://www.maltagenealogy.com/component/tags/tag/sillato
Which shows:
1.1.1.2.1.1. Heinrich VII, German King, King of Sicily (b.1211, d.Martorano 1248); m.Nürnberg 1225 Margarete (d.Burg Krummau 1267) dau.of Duke Leopold VI of Austria
1.1.1.2.1.1.1. Heinrich, d.1242/5
1.1.1.2.1.1.2. Friedrich, d.1251
1.1.1.2.1.2. Konrad IV, German King (b.Andria 1228, d.nr Lavello 1254); m.Vohburg 1246 Elisabeth (1227-1273) dau.of Duke Otto of Bavaria
1.1.1.2.1.2.1. Konradin, King of Sicily, Duke of Swabia (b.Burg Wolfstein 1252, beheaded at Naples 1268)
1.1.1.2.1.2.2. [illegitimate] Konradin von Sveva, hanged at Lucera 1269., married to Margarita di San Lorenzo, with issue.
1.1.1.2.1.2.2.1. Attilda von Sveva, married to Pietro Luca de Perrigrino, (son of Gerrardo de Perregrino, Capitano della Malta 1348-1350), with issue.
Any thoughts?