It will be observed that the following changes have been made to produce the family relationship as we find it in the _Skjọldungasaga_. Frothi is removed as Halfdan's brother and becomes his father, a change suggested, probably, by the tradition related in Saxo's second book that Frothi was Halfdan's father, and facilitated by the fact that, in the _Hrólfssaga_, the father of Halfdan and Frothi is not mentioned, and, as a result, presents no impediment to the change. But to explain how Halfdan has become Frothi's son, a new relationship has to be invented, so Frothi is said to have the son Halfdan by the daughter of Jorund. According to the _Hrólfssaga_, Halfdan is slain by his brother. This idea, in the abstract, is retained. But, according to the new arrangement, Ingjald, Frothi's son, has become Halfdan's brother, i.e., half-brother; hence, Ingjald slays Halfdan. According to the _Hrólfssaga_, Halfdan's brother and slayer marries his widow, Sigrith.[182] This idea is also retained. In the _Hrólfssaga_, it is Frothi who slays his brother, Halfdan, and marries his widow, Sigrith. But, according to the new arrangement, Ingjald is Halfdan's brother and slayer; hence, it is now he who marries Sigrith. According to the _Hrólfssaga_, Agnar is Hroar's son; but this, apparently, is not according to current tradition. According to Saxo's second book, he is Ingjald's son and is slain by Bjarki. This conception of him occurs in the _Hrólfssaga_ also, but towards the close, where Bjarki, in recounting his own achievements, mentions his having slain Agnar. This Agnar is not Hroar's son, but the Agnar of the _Skjọldungasaga_ and of Saxo's second book. The _Skjọldungasaga_, therefore, properly retains him as Ingjald's son and omits him as Hroar's son. Hrok and Hrörik are the same person. According to the _Hrólfssaga_, he is the son of Sævil and Signy. Olrik has about a page of comment on him,[183] in which he shows that he (Hrethric, Hrothgar's son, in _Beowulf_) was originally regarded as Hroar's son, but, for reasons that need not here be rehearsed, became a fluctuating character. The _Skjọldungasaga_ has made him the son of Ingjald. In the _Hrólfssaga_, Hroar is said to have married an English lady named Ögn. The _Skjọldungasaga_ also says that Hroar married an English lady, but omits her name. Finally, Ingjald is given another son, Frothi. He corresponds to Frothi V in Saxo. In Saxo, however, Frothi is the slayer of his brother and corresponds to the Frothi who appears in the _Hrólfssaga_ as the slayer of Halfdan. As the Frothi who appears in the _Hrólfssaga_ becomes, in the _Skjọldungasaga_, the father of Halfdan, and Ingjald becomes Halfdan's slayer, Frothi, Ingjald's son, is, as a consequence, assigned the rôle of joining his brother Hrörik in slaying his half-brother Hroar. Thus the idea of Frothi (corresponding to Frothi V in Saxo) as a fratricide is retained. But as Ingjald is succeeded on