The method of manufacturing an air cooled stator vane for a gas turbine engine by casting an inner shell with suction side wall and pressure side wall of the airfoil, stamp forming from a blank sheet metal a pair of sheaths and attaching one sheath of the pair of sheaths to the suction side wall and the other sheath of the pair of sheaths to the pressure side wall. Forming in the step of stamp forming pockets with a slot at the end of each pocket for flowing a film of cooling air over the exterior of each of the pair of sheaths and drilling holes in the end of the pocket remote from the slot prior to the step of joining to fluidly connect the pocket with cooling air. The method includes in another embodiment sheet metal blank stamp formed with a corrugated member and attaching it between the cast pressure side wall and one sheath of the pair sheaths and between the suction side wall and the other sheath of the pair of sheaths and drilling holes prior to the step of attaching in the high points of the corrugated member. In another embodiment the method includes forming perforated cylindrically shaped inserts and attaching the inserts in the central passageway formed in the cast inner shell.