You're wrong any biblical reference to Marium and Yoseph travel to Bethleham.
Luke 2: 4-7.
So Joseph and his wife, Mary, left Nazareth, a village in Galilee, and journeyed to their hometown in Judea, to the village of Bethlehem, King David’s ancient home. They were required to register there, since they were both direct descendants of David. Mary was pregnant and nearly ready to give birth. When they arrived in Bethlehem, Mary went into labor, and there she gave birth to her firstborn son.
She wrapped the newborn baby in strips of cloth, and Mary and Joseph laid him in a feeding trough since there was no available space in any upper room in the village.
Luke 2:4-14.
And Joseph also went up from Galilee, out of the city of Nazareth, into Judaea, unto the city of David, which is called Bethlehem; (because he was of the house and lineage of David:) To be taxed with Mary his espoused wife, being great with child. And so it was, that, while they were there, the...
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4 And Joseph also went up from Galilee, out of the city of Nazareth, into Judaea, unto the city of David, which is called Bethlehem; (because he was of the house and lineage of David
5 To be taxed with Mary his espoused wife, being great with child.
6 And so it was, that, while they were there, the days were accomplished that she should be delivered.
7 And she brought forth her firstborn son, and wrapped him in swaddling clothes, and laid him in a manger; because there was no room for them in the inn.
8 And there were in the same country shepherds abiding in the field, keeping watch over their flock by night.
9 And, lo, the angel of the Lord came upon them, and the glory of the Lord shone round about them: and they were sore afraid.
10 And the angel said unto them, Fear not: for, behold, I bring you good tidings of great joy, which shall be to all people.
11 For unto you is born this day in the city of David a Saviour, which is Christ the Lord.
12 And this shall be a sign unto you; Ye shall find the babe wrapped in swaddling clothes, lying in a manger.
13 And suddenly there was with the angel a multitude of the heavenly host praising God, and saying,
14 Glory to God in the highest, and on earth peace, good will toward men.