I had a fantastic natural birth in a hospital.
I think the #1 thing in my case, was that we went to a Baby-Friendly hospital. If you are near one, I would HIGHLY recommend it. Here is a link to the list
http://www.babyfriendlyusa.org/eng/03.html
I made the worst mistake possible trying for a natural hospital birth... I went in WAY too early. I had a posterior labor, and it was my first one, so I was in intense pain, and therefore thought I was much farther along than I actually was. I think I was just barely over 4 when we got there and they checked me in instead of sending me home. I was so nervous that it would ruin everything and I would be rushed and bombarded with pressure for intervention, but I was not, and I had a very long labor!
MW & Nurse did keep an eye on me, but DH & I were left to ourselves mainly (as we wanted per birth plan) to labor for as long as it took. No rush, no pressure, no one ever mentioned any kind of intervention of any kind to hurry it along. It was wonderfull, and my even my nurse was amazingly kind and supportive. During transisiton, I did start doubting myself, but instead of trying to push things on me, my nurse reasured me verbaly instead telling me how strong I was and how I had already labored so beautifully for so long and that she knew I could do it.
After the birth, no one even batted an eye at anything we wanted do do, like no eye goop, no Hep B shot, not washing the vernix off, etc. BF immediately after birth, and not disturbing the mother/baby bond is important at a Baby-Friendly hospital, as is rooming in, they dont even have a nursery, the baby stays with you the whole time, and so can DH.