You can still have medication at a home birth though (gas&air and diamorphine in the UK) and no medication whatsoever in a hospital so I'm not sure what the location would have to do with it (I've experienced both locations for birthing).
To me, a natural birth is one without drugs or assisted delivery. If either are present I would simply describe it as a vaginal birth. My first was an induction with syntocinon but otherwise drug free, but I still hesitate to describe it as a natural birth as syntocinon contractions are anything but natural.
I've started to use "unhindered" to describe what I would consider to be a truly natural birth - not just no drugs or instrument assisted delivery, but when the mom is able to move completely freely as she chooses and not subject to policies and procedures or other outside views of how she should birth. Being bed-bound and having constant fetal monitoring isn't terribly natural even if one does go drug free and birth without instrument assistance.
But it's all semantics really, and the definition is so variable from person to person. Basically it can mean anything from anything other than a cesarean, to unhindered, and everything in between. The majority of people I think would consider natural birth to be vaginal birth without an epidural.
I had a drug free fairly fast progressing labour, with most of the time spent in water. BUT I ended up with ventouse because I basically didn't have the stamina to push him the final bit down and he was looking slightly to the right which made it harder.
So if we're being picky I had a natural labour and an assisted birth! (PS ventouse in my case was super easy, one push with it on, baby had no marks and I didn't need an episiotomy or any pain relief for during the procedure, so in my head it isn't traumatic or anything, my only regret is that no one told me to get up off my back to try that instead!).
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