I suspect that most of the personal virtues in the list were extracted from the Conspiracy of Catiline, by the Roman Historian Gaius Sallustius Crispus. He defined a number of what he though of as typical Republican Roman virtues.
He went on to argue that they were in the process of being corrupted because of the influx of wealth.
However, I don't think you're going to be able to find anything like a single source for the whole list.
Another famous source would be Cicero who wrote at about the same time as Sallust. For example, in De Legibus he remarked that good people have Mens (mind), Virtus (courage), Pietas (piety), and Fides (faith). All good, Roman, personal virtues.
And then, of course we have the concept of "public virtues" in ancient Rome, many of which were personified as deities. Examples here would include Bonus Eventus, Fortuna, nobilitas, Pax, and Securitas.
Notice that, of these, nobilitas (social rank) is the only one not to have been personified as a deity. This was also a concept that would change radically in the transition from Republic to Empire.
These public virtues are also sometimes known as the mores maiorum, or "ways of the ancestors". As unwritten rules, these are, not surprisingly, hard to tie down exactly. Some were mentioned, in passing, by Roman authors, For example, Juvenal in his Satires says:
Though fatal Pecunia (Cash) has no temple as yet
To dwell in, and as yet we’ve set up no altars to money,
As we worship now, Peace, Loyalty, Victory, Virtue,
Or Concord, with clatter of storks when we hail her.
Others were portrayed or inscribed on objects like coins, or the shield presented to Augustus by the Roman Senate which, as the marble copy below shows, bore the inscription:
virtus, pietas, clementia, iustitia
("valor, piety, clemency, and justice.")
Source - Wikipedia
Several sites in addition to Wikipedia have fairly complete lists of the virtues, both private and public. I've haven't yet seen a fully sourced one, but the list on nova Romana at least seems fairly complete.
A useful text that discussed the virtues, and at least some of the sources is The Roman Virtues by Harold Mattingly. (It should be available to read free online at JSTOR, but either their site is down right now or the Internet connection on mt phone is playing up)