1. Mary and Elizabeth
Compare Mary and Elizabeth….

Mary could not have conceived naturally because she was a virgin.
Elizabeth was described as “unable to conceive” and she and Zechariah were both “very old”.
One was a virgin. The other could be described as infertile and old. The chances of them conceiving children were nil. Yet, both gave birth to sons.

2. The news of John and Jesus
Compare the narratives of Jesus’ and Johns birth…

The angel appeared to Zechariah.
Zechariah was afraid.
Zechariah expressed doubt (and was muted temporarily)
the angel comforted him and assured him of a son.
He was instructed to name the baby “John” (Luke 1:11-13)

The angel appeared to Mary….
Mary was afraid.
Mary expressed doubt.
the angel comforted her and said she would give birth to a son…
She was instructed to name the baby “Jesus”.

3. John’s birth as miraculous of the birth of Jesus
Zechariah himself expressed disbelief towards the news of a son by saying “I am an old man and my wife is well along in years”. So considering Zechariah was old and Elizabeth was “unable to conceive” it can legitimately say John’s arrival in Elizabeth’s womb was as miraculous as Jesus’ arrival in Mary’s womb. John, like Jesus also the result of a divine intervention, thereby being as miraculous as Jesus.

If Jesus, who was conceived miraculously (of a virgin) is considered divine….then by the same logic, shouldn’t John, also conceived miraculously (to infertile / old parents) also be considered divine?

The answer to this is simple.

And the angel answered and said unto her, The Holy Ghost shall come upon thee, and the power of the Highest shall overshadow thee: therefore also that holy thing which shall be born of thee shall be called the Son of God. And, behold, thy cousin Elisabeth, she hath also conceived a son in her old age: and this is the sixth month with her, who was called barren. For with God nothing shall be impossible.
-Luke 1:35-37


Thats right.
With God nothing shall be impossible.
The miraculous conceptions of John and Jesus only speaks of the power of God.