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With that said, there's no definitive explicit Church teaching on the matter, and you're entitled to an opinion.  What I objected to as Modernist was the derogatory comments about the Church Fathers being wrong and needing to "stay out of" speculation (whereas it's OK for you).  Modernists always have this hubris about how the ancients had it wrong and we moderns know better.  You're just dripping with that mentality.

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No Church teaching?  Thank you. 
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I am not speculating.  I am going with private revelation.
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Yeah, I am a Modernist because I disagree with you.  
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You are a fundamentalist, who thinks Pope Pius VII is in error
and all the recent Church rulings about Heliocentrism are wrong.
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So you are a Sevevacantist more than I am a Modernist (which
I'm not). 
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Modernist is one of the derogatory terms you use when you are
losing the argument or cannot understand the argument.
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The Church fathers were WRONG on Geocentrism, sorry.
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The latest Church ruling says effectively that they were WRONG.
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I know don't tell me ... everything after 1633 is modernism.
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Ha, ha, ha, ha, ha.

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Is there any mention of "Mary Magdalene" in the story about
the adulterous woman in the Bible ?
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No.
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Therefore ... it's speculation.
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You have just articulated a Protestantized Modernism in a nutshell.

Just because there's no explicit mention in the Scriptures regarding who this is, there's such a thing as an oral tradition.  That is why the Church has always upheld the authority of the Church Fathers.  Your claim that if something is not in Scripture, then it must be speculation is Protestant garbage.  That's the same thinking that ultimately leads to rejecting Tradition as a source of Revelation.  Because of their proximity in time to Our Lord, having been disciples of Apostles or disciples of disciples of Apostles/Evangelists, there's a very high probability that it was well known through an oral tradition that this woman was indeed Mary Magdalene.

So the Church has always upheld that a virtually universal Patristic understanding/interpretation of Scripture is authoritative and normative, to be accepted by Catholics unless definitely proven otherwise.  Take your sola scriptura elsewhere, and stop pushing it on a Catholic forum.

The Church fathers were WRONG on Geocentrism, sorry.

No they weren't.  Quod gratis affirmatur, gratis et negatur.