> Q: Does anyone know if there were midwives in the 1860s and 1870s? And if there were, did they have to register with the state or the county? Or both? <
A: Common sense suggests there have always been midwives - that is, people who assisted women in giving birth. If I understand the history correctly, midwives were not regulated in the USA in the 1860s and 1870s. To check my impression, you can read more about this in many books and articles, both online and in your local library. Here is Wikipedia's answer: http://en.wikipedia.org/wiki/Midwifery_in_the_United_Stateshttp://en.wikipedia.org/wiki/Midwifery_in_the_United_States
In the 1860s and the 1870s the USA was still being settled, and women were giving birth at home, in remote places where the choices of a helper were limited. Even well into the twentieth century, many births took place at home.