I'm watching HBO's Rome and there are frequent mentions of Gods. Some of the characters frequently swear by saying 'Sons of Dis', for example. Hades is also brought up a lot. However, when I Googled Hades, it's a Greek God. Dis is the Roman counterpart from what I've read. Did Ancient Romans acknowledge Greek Gods as well as their own Roman Gods in parellel?
This old comment of mine is not exactly an answer to your question but I feel it might shed some light on how Romans perceived divinity