Livy , Dio Cassius , and Plutarch say that the honour fell to Horatius by lot , rather than to Valerius .
Dionysius of Halicarnassus says Valerius was on campaign at the time .
Livy , Dio Cassius , and Plutarch say that the honour fell to Horatius by lot , rather than to Valerius , while Dionysius of Halicarnassus says Valerius was on campaign at the time .