There is no evidence that any of Constantius's daughters married before their father died. Anastasia's sister Constantia may have been the first to marry, and may have been the oldest of the siblings. Constantia married in 313. Anastasia herself married Bassianus in 316 or in 314. At that time, Anastasia's half-brother Constantine was emperor. He planned to make Bassianus (a junior co-emperor). Anastasia's brother-in-law Licinius (Constantine's junior co-emperor) did not want this to happen, and Bassianus did not become . After this Constantine executed Bassianus. The "Anonymus Valesianus" says that Bassianus's execution was because Bassianus planned treason. What became of Anastasia is unknown.