Is a mother's supplication answered at childbirth? And is the supplication answered with each labor pain? And is there any Shar'i evidence for that?

A woman's supplication before, during, or after childbirth, as appropriate to her situation, is good. There is no specific supplication for these situations, nor is there any evidence that the time of childbirth is a time when supplications are answered. However, difficult labor makes a woman in distress, and the supplication of the distressed is answered, as Allah Almighty says: "Is He [not best] who responds to the distressed one when he calls upon Him and removes the evil?"