So... we never actually got to Rome.
So we took our first and last night train intending to go to Rome. The affordable sleeper cabin resembled an oven both in temperature and cramped space. The train conductor swore the air conditioner worked, but I am skeptical. So we basically spent the whole night sweating. To make thing worse there was an older German man who snored loudly and was in a pretty foul mood. I am pretty sure I got cussed out in German at around 1 am for moving around (but it was all Greek to me). So when the train stopped in Florence early in the morning we decided to forgo 2 more hours of sleeper train travel and skip Rome.
Florence was nice, and Siena has been a delightful city to explore. Apparently it is still quite similar to how it was in the middle ages. Lots of fun. It is also nice to hear from all the tourists coming from Rome how everything you would want to see is surrounded by sweaty, angry throngs of tourists. Sounds too much like a sleeper cabin to me.