John Chrysostom and the Acts of the Martyrs report the following story, that Babylas once refused a visiting emperor, on account of his sins, permission to enter the church and had ordered him to take his place among the penitents. John does not give the name of the emperor; the Acts mention Numerian. It is more likely the contemporary Philip the Arab of whom Eusebius (Historia ecclesiastica, VI, 34) reports that a bishop would not let him enter the gathering of Christians at the Easter vigil. Later legend elaborates on this, stating that Babylas demanded that he do penance for his part in the murder of the young Gordian III before he would allow Philip to celebrate Easter.
In 351 the Caesar Gallus built a new church in honor of Babylas at Daphne, a suburb of Antioch, and had the remains of the bishop transferred to it. The intention of Gallus in translating the remains of Babylas to Daphne was to neutralize the pagan effects of the temple of Apollo located there -- or, as Chrysostom expresses it, to "bring a physician to the sick." Near the close of his discourse John Chrysostom refers to the erection of the church dedicated to Babylas, and to the zeal of the Bishop Meletius in promoting it, who actually took part in the work with his own hands.
When Julian the Apostate consulted the oracle of Apollo at the temple in Daphne (362), he received no answer, and was told that it was because of the proximity of the saint. He therefore, had the sarcophagus of the martyr exhumed and taken back to his original place of burial. A few days later, on October 22, a mysterious fire broke out in the temple of Apollo, consuming the roof of the building, and the statue of the god, copied from Phidias' statue of Zeus at Olympia. Julian, suspecting angry Christians were responsible, ordered the Cathedral of Antioch closed, and an investigation into the cause of the fire: Ammianus Marcellinus reports "a frivolous rumor" laid the blame to some candles lit by a worshiper late the previous night (XXII, 13). Later tradition claimed a bolt of lightning set the temple on fire, and that Julian soon after returned the bishop's remains to his church. The columns and walls of the ruined temple were still pointed out twenty years later.
In the middle ages, the remains of Babylas are said to have been moved to Cremona.