|I have read that you have to take Livy (was a contemporary with the Emperor Augustus) with a grain of salt. He fleshed out a detailed history of Rome from a skeleton of very bare official records with the help of local tradition and a good historical imagination. So what he left us should be seen as accurate look-and-feel but not necessarily accurate fine factual detail.
Livy indicates this at times. One example - "After the consul had said what he wanted to say, one of those who were appealing to the tribunes - Sp. Ligustinus - begged the consul and the tribunes to allow him to say a few words to the Assembly. They all gave him permission, and he is recorded to have spoken to the following effect:"
Here is Livy on a Website with (the example above) an account of the speech of a centurion -
This account starts at -
"[42.34]After the consul had said what he wanted to say,"