I plugged another small surface element into to test the circuit. The element did not heat. I then found your site on the web and searched for parts for my GE electric range. I ordered a Range Surface Burner Control Switch and a 6 Inch Small Surface Element. The parts arrived in a couple days. I then unplugged the electric range , removed the old Burner Control Switch, installed the new switch, installed the new 6 inch surface element, reconnected the the electric range to power. I turned the new surface on and it worked. The surface element indicator light now goes out when all burners are turned off. The installation took about 15 minutes using a screwdriver and a nut driver.
Easy fix.