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 ties to the emperor. Historian Richard Alston says it is likely that either Tiberius or Livia were behind the exile of Agrippina's half-sister and the death of Postumus. He notes the death of Agrippina's mother, who starved herself to death amidst her exile in AD 14, linking her death to Tiberius' disdain for her. Agrippina was vocal about her feelings claiming that Germanicus was murdered to promote Drusus the Younger as Tiberius' heir, and worried that the birth of the Younger Drusus' twin sons would displace her own sons in the line of succession. Her fears proved to be unfounded,