Augustus ordered a census throughout the empire. Joseph and Mary headed to bethlehem as instructed by the Romans (go to the town of the husband). if that was during December then it indicates where and when Jesus was born.
This is why the study of Jewish Law, customs, and culture is so important if you are a Christian. Jesus was Jewish, lived and died as a Jew. God wrote the Bible to Jews. The things we see Jesus doing was to follow Biblical laws and traditions. The knowledge an average Christian gets of Jewish things is pitiful. In fact, one might say that antisemitism comes from this lack of understanding. It's possible to go into an average church and find half the membership has some sort of antisemitism because they don't even understand Jesus was a Jew. Jesus didn't come to start some new religion, but to fulfill the Jewish one. We have been grafted in, or adopted into, the family of God( which is Israel) The final chapters in the Bible have to do with God coming to rescue Israel from Satan. God's first covenant was with Israel. They will inherit the same covenant we have. I'm not so concerned with what Roman history seems to say but what the Bible says. Rome has had and continues to have types and shadows of Satan and his work.