Greetings: The Father and the Son are the Parents of the Holy Spirit, if many churches are correct. The Trinity is a Family-- two Parents and a Progeny, if many churches are correct. In the Book of Job which is part of the bible, the Lord is compared to a father and also a mother with a womb. "From whose womb comes the ice? Who gives birth to the frost from the heavens"--Job 38:29. Saying that the "Father and the Son are the Parents of the Holy Spirit" is simply another way of saying that the Holy Spirit "proceeds from the Father and the Son" which has been official Catholic Church teaching for centuries. According to the Catholic Church, the Son is begotten from the Father. If this is true, the Father is the Father (Parent) of the Son. According to the Church, the Holy Spirit proceeds from the Father and the Son. If this is true, the Father and the Son are the Parents of the Holy Spirit. Of course, the scriptures are vague if the Holy Spirit is the 3rd or 1st or 2nd Person of the Trinity--whichever of these is true, the First Person and the Second Person may be the Parents of the Third.
Parent definition 1a from Merriam-Webster dictionary: one that begets or brings forth offspring.