Beware of answers here as 'Jesus' could just be a myth. There are many parallels to Greek myths and ask yourself this question. Are the laws of nature going to be suspended for one individual or did a Jewish minx tell a lie?
Joseph and Mary traveled to Bethlehem , as it was told to go to their respective hometowns for the census.
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Mary and Joseph went to Bethlehem for the census because it was a requirement by the government for all residents to return to their ancestral hometowns to be counted.
Mary traveled to Bethlehem by riding on a donkey with Joseph.
It could be summer , as the shepherds were keeping watch over the sheep in the open. It is doubtful it is December , as it is to cold to sit out in the open.
Joseph and Mary went to Bethlehem to be counted in a census so they could be taxed.
Mary's hometown was in Bethlehem.
She traveled there with her husband Joseph, whose family was from Bethlehem.
Mary gave birth to Jesus in a manger in Bethlehem.
Mary and Joseph were obliged to go to Bethlehem for the census by the Roman authorities. In a sense you could also say God led them, since it was ordained that Christ would be born in Bethlehem.