(Disclaimer: I am Not any kind of historian or Biblical scholar. I do know how to use simple tools to search text and came to a conclusion/question about Nazareth different than mentioned in this thread.)
I just searched the Bible for all occurrences of “naz.r”. I get the same result from two English translations.
The Old Testament mentions “Nazarite” but never “Nazareth.” The New Testament reverses this (and also mentions “Nazarene”).
The first reference in Matthew is 2:23:
“And [Joseph, with his family] came and dwelt in a city called Nazareth: that it might be fulfilled which was spoken by the prophets, He shall be called a Nazarene.”
(I suppose the “prophets”, as quoted in Old Testament, actually said “Nazarite”?)
The first reference in Mark is 1:9, much simpler:
“And it came to pass in those days, that Jesus came from Nazareth of Galilee, and was baptized of John in Jordan.”
John is more cryptic in 1:45-46:
“Philip findeth Nathanael, and saith unto him, We have found him, of whom Moses in the law, and the prophets, did write, Jesus of Nazareth, the son of Joseph.
And Nathanael said unto him, Can there any good thing come out of Nazareth? Philip saith unto him, Come and see.”
Now the Matthew reference seems confused, unless it refers to the Old Testament’s “Nazarite.” But what does that “Nazarite” mean? The clearest answer I can find is Samson’s comment to Delilah in Judges 16:17:
“Then opening the truth of the thing, he said to her: The razor hath never come upon my head, for I am a Nazarite, that is to say, consecrated to God from my mother’s womb: If my head be shaven, my strength shall depart from me, and I shall become weak, and shall be like other men.”