Livilla de Cn. Pisone patre" indicates that she was held in the highest esteem by her uncle and father-in-law, Tiberius, and by her grandmother Livia Drusilla. According to Tacitus, she felt resentment and jealousy against her sister-in-law Agrippina the Elder, the wife of her brother Germanicus, to whom she was unfavourably compared. Indeed, Agrippina fared much better in producing imperial heirs to the household (being the mother of the Emperor Caligula and Agrippina the Younger) and was much more popular. Suetonius reports that she despised her younger brother Claudius; having heard he would one day become Emperor, she deplored publicly such
Agrippina the Elder the emperor, which would have made him a member of the imperial family. While this did make his ambitions clear, his request was denied. The loss may have been huge for Sejanus had the dissensions in the imperial household not been deteriorating. Relations were so bad that Agrippina refused to eat at Tiberius' dinner parties for fear of being poisoned. She also asked Tiberius if she could be allowed to remarry, which he also refused. If either of them were allowed to remarry it would have threatened the line of succession that Tiberius was comfortable with. By refusing Sejanus' request,