More specifically, for the verb “give birth to”, the mother is the direct object and their new born child is the indirect object. The verb “deliver” can have the doctor or midwife or so on as the direct object.
I am bringing this up because I had to read your comment several times before I realized it was a comment about language use rather than about the role of doctors in England.
Finally, to be completely pandemic, doctors can give birth to other people‘s kids. My wife, a doctor, gave birth to my sons; there was another doctor there who delivered them.
