"Hruodrudem et Bertham et Gislam" are named daughters of King Charles & Hildegard by Einhard. Angilbert's poem Ad Pippinum Italiæ regum names (in order) "Chrodthrudis…Berta…Gisla et Theodrada" as daughters of King Charles. Theodulf's poem Ad Carolum Rege changes the order slightly when he names "Berta…Chrodtrudh…Gisla …Rothaidh…Hiltrudh, Tetdrada" as daughters of the king. She was given the name ERYTHRO in Greek. Theophanes records that Empress Eirene sent ambassadors to "Carolum Francorum rege" to negotiate the betrothal of "filiæ eius Erythrus" and "filio suo Constantino", dated to 781, in a later passage recording that the empress terminating the treaty "cum Francis" (dated to 787). Zonaras records that Empress Eirene terminated the betrothal of her son with "Carolum regem Francorum...eius filiam", dated to 787 from the context. The Annales Fuldenses record the betrothal of "Hruodtrudis filia regis" and "Constantino imperator" in 787. Her father kept her and her sisters at court refusing them permission to marry. Her relationship with Rorico [I] is confirmed by the Annales Bertiniani which record the death "867 V Id Ian" of "Hludowicus abbas monasterii et nepos Karoli imperatoris ex filia maiori natu Rohtrude", read together with an earlier part of the same source in which her son Louis is named "Ludowicum abbatem monasterii Sancti Dyonisii cum fratre ipsius Gauzleno".
The Gesta Francorum records the death "810 VIII Id Iun" of "Hruoddrud filia imperatoris quæ natu maior erat". Einhard records the death "VIII Id Iun 810" of "Hruodtrud filia imperatories". The necrology of the abbey of Saint-Denis records the death "III Non Jun" of "Rotrudis filia Karoli imperatoris". 2
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