What are the sources concerning the deaths of Peter and Paul Where do we learn that the deaths of Peter and Paul were during the Neronic persecutions of 64 - 68 AD?  What is the source of this information and is it considered valid?
John Foxe, in his 'Book of Martyrs', 1563, catalogues his sources regarding the martyrdom of Paul and Peter.

Of the recorded history of Paul's death, Foxe quotes :


  Eusebius, Hierom, Maximus, and other authors do but briefly pass it over; so Abdias, (if his book be of any substantial authority,). . . .


Of the sources of the record of Peter's death, he says . . . 


  Hierom, Egesippus, Eusebius, Abdias, and others, although they do not all precisely agree in the time. 


So it would seem that there are limitations in the availability of verifiable historic material.