Source for what i wrote regarding home births:
Mishne Halochos 2:21
Because of the importance of the issue, I felt it necessary to post a free translation of the relevant part of the Tshuva:
Not only is giving birth in hospital permitting, on the contrary, it’s an obligation…
…. It’s well known that hospitals have all kinds of medical equipment on hand if the woman is in danger or if there arise any complications during the birth. They can give oxygen, blood transfusions etc, which isn’t possible at home. We have seen how many woman have died giving birth at home in previous generations, and how nowadays, very few women die in childbirth, being so, it is Assur to endanger any woman by giving birth at home, and it’s possible that if someone happens to her, they will be Chayav Benafsha.
…Even though it’s not certain that complications will arise, it’s considered Safek Pikuach Nefesh, and I personally know of such cases.
עד כאן.