There are no more newborns at Milford Hospital, but there are an increasing number of patients at the opposite end of the age spectrum in a rather unique relationship with the Yale New Haven Health System. The financially strapped community hospital has ended its obstetrical labor and delivery service, but it is leasing space to the Yale system for an inpatient short-term acute rehabilitation center that Yale owns and operates. Over the summer, the Office of Healthcare Access gave Yale-New Haven Hospital permission to close the rehab center that was located in the Hospital of Saint Raphael, which Yale acquired in 2012.