When I was a girl we called in the doctor alike when we had measles, or when mother's sister died in the far West. He cut out redundant tonsils and brought the babies with the same air of inspiring self-confidence.
Nowadays it requires a different specialist for each of these occurrences.
The above is depicting the medical situation of 19 century, when the division of labor in medicine was not clear-cut. The phrase 'bring the babies with' doesn't seem to be an idiom since I can't find anywhere in dictionaries, but the meaning of the sentence is not very clear to me.
My guess is 'brought the babies with' means the doctor is helping the babies born or like. Am I right? Or is there any other meaning?