Prescription Drug Monitoring Act of 2019 This bill expands the notification and reporting requirements with respect to potentially addictive prescription drugs for states receiving funds for a Prescription Drug Monitoring Program (PDMP). Dispensers of these drugs, which includes substances listed in schedule II, III, or IV of the Controlled Substances Act, must consult with the PDMP before starting treatment involving such drugs and report each prescription of such drugs to the PDMP within 24 hours. The state agency administering a PDMP must analyze reported data for patterns of controlled substance misuse or abuse and provide certain information to law enforcement, the public, and other states.