alternatehistory.com

On 772, the Eastern Roman Empire would start a war against the Frankish Empire under Charlemagne and pope Adrian I due to the family of Carloman seeking refuge in the Lombard Italian Kingdom which would end in the pope completely losing its territories outside of Latium and the Lombards would secure the rule of the Exrarchy of Ravenna, however his son Adelchis would die and the eldest son of his daughter, Adelperga, Grimoaldo would take the mantle of the heir of the Lombard Kingdom therefore completely uniting the Duchy of Benevento with the Lombard Kingdom on the death of Desiderio I of the Lombards and the King of Italy on 980, he would marry his cousin Epythimia who has the Exrarchate of Ravenna and all of the territories in the Italian peninsula as her dowry but Sicily would remain under the rule of the Eastern Roman Empire.

Ida, the daughter and only child of Carloman and Gerberga who would survive to adulthood would marry Constantine, the son of Leo IV creating a link between the Eastern Roman Empire and the Carolingians, she would take the name Alexandra as the wife of Constantine.[1]

1. Adelaide/Ida and Alexandra have a common nickname Alix so that would be a good pun so her taking the name Alexandra would be fitting.