│ ┌─Charles III the Simple King of the Franks ⇒
│ ┌─Louis IV King of the Franks
│ │ └─Eadgifu of Wessex ⇒
│ ┌─Charles Duke of Lower Lorraine
│ │ │ ┌─Henry I the Fowler King of Germany ⇒
│ │ └─Gerberga of Saxony
│ │ └─Matilda of Ringelheim
└─Adelaide