Have you ever known someone addicted to having babies?

"Once a child is conceived, it has the right to life. The Quran makes it very clear that all life is sacred. It is never permissible to terminate a pregnancy because one fears being unable to financially support a child or another child. It is God, who is the Provider and Sustainer of all life.
When making a decision to terminate a pregnancy it is important to remember that having a child is a blessing from God and all such blessings should be accepted with joy and gratitude."

Source: https://www.islamreligion.com/articles/3584/viewall/what-islam-says-about-children/

I once knew the woman that had baby for every year that she could conceive she had over 20 children

That's not an addiction that's a fetish, which idk what word for it is.

Sounds like she needs a hysterectomy.