Because Luke places Elizabeth in Jerusalem, Uta Ranke-Heinemann (Putting Away Childish Things) says it is altogether impossible to understand why Joseph did not arrange things so that when "the time came for her to be delivered" she could stay with her cousin and give birth to her son there, rather than travel onwards to Bethlehem where she knew no one and could not even find accommodation. Ranke-Heinemann agrees with the scholarly consensus that Luke's account is not historical and adds that presumably Elizabeth was herself a creature of legend. This view contradicts Luke's story of Elizabeth in Jerusalem.
There are a number of saints named Elizabeth. Please be specific. If you are referring to Saint Elizabeth who was the Cousin of Mary the mother of God, she gave birth to John the Baptist. She lived near Jerusalem in the hill country.
The actual dates are not known. However, she was probably born in the middle of the first century B.C. and probably died early in the first century A.D.
The Bible is silent in regards to your question. However, Elizabeth and Zachariah were well along in years when the angel Gabriel appeared to Zechariah in the Holy of the temple and announced that Elizabeth would give birth to a son who was to be called John. (Luke 1:5-7, 11-13, 24)
in judea
His grandmother
He lived in the desert.
Saint Elizabeth, the mother of John the Baptist, is traditionally believed to have lived in the region of Judea, specifically in a town called Ein Kerem, which is near Jerusalem. According to the Gospel of Luke, she was a relative of the Virgin Mary and lived there with her husband, Zechariah. The site is significant in Christian tradition and is often visited by pilgrims.
John the Baptist's early life could have been in a monastery with Essene monks.
It is believed that John the Baptist was orphaned early because his parents were old when he was born. He may have been adopted by Essene monks and raised to live off the land. So, my conclusion was that he was an itinerant preacher.
John the Baptist lived in the wilderness for an unspecified amount of time before beginning his ministry.
John the Baptist chose to live in the wilderness to separate himself from worldly distractions, focus on his spiritual calling, and prepare himself for his role as a prophet and forerunner of Jesus Christ.
Live in the desert, survive on bugs and honey, preach Jesus' coming and redemption through baptism. IE your not John the Baptist, nor will you or anyone else ever be.