In Genesis 2:18 the Lord refers to the woman (Eve) as a helper: “And the Lord God said, “It is not good that man should be alone; I will make him a helper comparable to him.”
And then in John 14:26 He refers to the Holy Spirit as The Helper: “But the Helper, the Holy Spirit, whom the Father will send in My name, He will teach you all things, and bring to your remembrance all things that I said to you.”
Are there any strong correlations or similarities between woman or mother and the Holy Spirit other than using a similar word in reference to them?
As you can see from John 14:26 the pronoun referring to the Holy Spirit is in the masculine gender. The Greek word translated “helper” there is “parakletos”, a masculine noun meaning “one who pleads another’s cause before a judge, a pleader, counsel for defense, legal assistant, an advocate”. “Helper” is an unusual rendering of the Greek.
The KJV uses “Comforter” in John 14:26. Some other translations use “Counselor”. And in John 16:5-11 the Holy spirit is referred to by masculine pronouns no less than 10 times. Therefore, I don’t believe the references to Eve and the Holy Spirit are meant to indicate any similarity in their respective roles.