Final answer:
The term for the childbirth method involving controlled delivery of the baby's head, with supports to the perineum, is part of the management for the delivery of the head in a breech birth, but does not have a specific name. After the head is delivered, the rest of the body quickly follows, and procedures like aspirating mucus and cutting the umbilical cord are performed.
Step-by-step explanation:
The term you're looking for, which describes the method of childbirth involving one hand at the top of the baby's head and the other pushing the perineum onto the baby's chin, does not have a specific name, but the procedure is part of the management for the delivery of the head, particularly in a breech birth. During vaginal birth, the care provider may support the perineum to control the delivery of the head and reduce perineal tearing. After the delivery of the head, the rest of the body usually follows quickly, and measures such as aspirating mucus from the newborn's mouth and nose take place before the baby takes its first breath. The umbilical cord is clamped and cut to complete the second stage of childbirth.