That depends a lot on who you mean with "they".
Nazareth is of no significance in Jewish history.
There is no record of where or when she died but it probably happened in the town of Nazareth.
Christians believe that Jesus grew up in Nazareth.
The only record that I can see of this in Scripture is when he was still in his mother's womb, and Mary and Joseph went down from Nazareth to Bethlehem to be taxed.
They fled to Egypt to escape the murder of the boy children of Bethlehem by Herod. After King Herod died, they went to Nazareth to live because they came from Nazareth in the first place. Luke 2, Matthew 2.
Pontius Pilate, the Roman procurator had Jesus of Nazareth crucified.
A prophet from Nazareth, born in Bethlehem. Some people believe he was the son of God and died and went to heaven.
Jesus of Nazareth began traveling and preaching at the age of 30 years.After he returned from the wilderness , where he went to fast and pray for 40 days. after he was baptized.
First Joseph and Mary went to Bethlehem to be taxed, during which visit Jesus was born; then the family fled to Egypt to escape the infanticide of Herod; then they came back to Nazareth, Joseph's home. When Jesus was older they also went to Jerusalem to celebrate the Passover.
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Jesus was born in Bethlehem, about six miles from Jerusalem, in Israel. After his birth, he lived there for up to a year. He lived for a short time (a few months to a couple years) somewhere in Egypt after that, then went to Nazareth in Galilee (northern Israel) where he spent most of his childhood. He lived there until he began his ministry, around the age of 30.
For a while Jesus and his parents had to live in Egypt to escape the Roman ruler who ordered that Jewish boy babies age two and over be killed. When the threat ended they went back to their home town of Nazareth.