I had a shoulder dystocia with #1, and went on to have a successful natural birth/ healthy baby with #2, who also had a shoulder dystocia.
I had DS1 at a birth center with midwives. He had a moderate shoulder dystocia, resolved with the Gaskin Maneuver and some manipulation. He was 9lbs. 9oz.
I wanted a homebirth with my second, but also knew that I was at risk for having another shoulder dystocia baby. I sought out an experienced midwife. I tried to not gain so much weight. I went to the chiropractor, did various exercises, and labored in appropriate positions. But, DS2 was much more stuck than DS1 had been - severe shoulder dystocia. It took longer to resolve, but it was resolved with the Gaskin Maneuver and some manipulation as well. He was 10lbs. 8oz.He was bruised, and needed oxygen for about an hour to help him perk up. My husband, sister, and midwife took him to the pediatrician at the hospital to make sure he didn't have any broken bones, but he just needed a chiropractic adjustment. He's 3.5 years old now, and doing just fine.
I'm glad that I sought out the perfect midwife, and that I didn't go to the hospital. I don't believe that we would've had a better outcome in a hospital.