For some women, this is a no-brainer. Of course they will birth in the hospital! Others can’t imagine having their baby in a hospital setting. Still others have endured traumatic experiences in the hospital, so they opt for a home birth. There are many reasons we make the choice we make.
I can’t imagine giving birth without a doctor nearby.
The home birth perspective looks at the fact that women have been birthing babies for centuries. It’s not an “illness” or a “disease;” our bodies were created to do this. In 1900, less than 5% of women gave birth in hospitals. As of 1994, midwives attended 5.5% of births. 
For the low-risk women who want to labor and deliver with as little medical intervention as possible, home birth (or nurse-midwives in excellent hospital settings) makes the most sense. For the women who are paying for their childbirth out of pocket, home birth can be as much as 60% cheaper than even the baseline care charge at a hospital. 
Excellent hospitals can be diamonds in the rough. In our case, the “best” area hospitals have ridiculously high c-section and episiotomy rates… even higher than the state average (which is not a low number). I also had friends who had gone the home birth route, and their stories intrigued, challenged, and inspired me to think outside the hospital-birth box.
How can you stand having the nurses check on you all the time?
Some hospitals willingly accommodate expectant moms in an effort to give them a great experience. Some hospitals don’t require the patient to sign a “blanket consent,” where she basically allows the staff to do whatever they deem necessary for her care and the care of her baby. Some hospitals are mother and baby friendly, which is awesome.
Some moms need additional care. Some moms encounter unforeseen complications. In these situations, the advantage of the hospital is unparalleled. (And in these situations, a knowledgeable and caring home birth midwife would transfer the mom/baby without hesitation.) And the truth is… some moms love their hospital birth experience.
How this relates to the Gospel
Our birth choices can become a stumbling block when we become so impassioned about our “side” or against the other side that we cannot see the forest for the trees. Apostle Paul told the Christians at Rome (and us):
Be kindly affectionate to one another with brotherly love, in honor giving preference to one another. 
Are my word choices exemplary of this kind of behavior? Even if I disagree with a sister in Christ’s reasoning for choosing a home/hospital birth, can I still love her as my sister?
Be of the same mind toward one another. Do not set your mind on high things, but associate with the humble. Do not be wise in your own opinion. 
Do I prize the choice my family has made above the unity of the Body of Christ? Am I so sure that we made an appropriate choice for us that I cannot understand why anyone would make a choice to the contrary?
Friends, in the Big Picture, Christ died for sinners. He redeemed us from the curse of the law. He redeemed sinners who choose home birth, and He redeemed sinners who choose hospital birth. For eternity, we will worship Him alongside many, many women who made different choices than we did. That is so cool!
And [the living creatures and elders] sang a new song, saying:
“You are worthy to take the scroll,
And to open its seals;
For You were slain,
And have redeemed us to God by Your blood
Out of every tribe and tongue and people and nation.” 
 The History of Midwifery and Childbirth – A Time Line
 American Pregnancy Association on Home Birth
 Romans 12:10, NKJV
 Romans 12:16, NKJV
 Revelation 5:9, NKJV