1. AUTOMATIC MECHANISM FOR DEMOUNTING A LASTMOUNTED SHOE FROM THE MOVABLE LAST SUPPORT OF ONE SHOEMAKING MACHINE WHICH HAS SEPARATE AND COMPLETE CONTROL OF THE LAST MOUNTED SHOE DURING A MANUFACTURING OPERATION A SIMILAR MOVABLE LAST SUPPORT OF A SECOND SHOEMAKING ON A SIMILAR MOVABLE LAST SUPPORT OF A SECOND SHOEMAKING MACHINE FOR FURTHER OPERATION, SAID MECHANISM COMPRISING A CARRIER HAVING MOVABLY MOUNTED THEREON RELEASABLE LAST-GRIPPING JAWS, POWER MEANS FOR MOVING THE CARRIER FROM ITS LAST DEMOUNTING POSITION ADJACENT THE ONE SHOEMAKING MACHINE TO ITS LAST MOUNTING POSITION ADJACENT THE SECOND SHOEMAKING MACHINE AND RETURN, AND MEANS ADJACENT EACH OF MOVING ITS JAWS INTO A LAST-ENGAGING POSITION RIER FOR MOVING ITS JAWS INTO A LAST-ENGAGING POSITION WHEREIN THEY AND ONE OF THE LAST SUPPORTS CAN RELATIVELY MOVE TO TRANSFER CONTROL OVER THE LAST-MOUNTED SHOE BETWEEN THE JAWS AND THE ONE LAST SUPPORT.