Place masa and 1 cup water in blender.  Blend until smooth.  Set aside.

Place 1 1/2 cups water in large pot over medium heat.  When water begins to boil, add cinnamon stick and piloncillo.  Decrease to a low simmer.  Stir to dissolve piloncillo. 

When piloncillo has completely dissolved, add milks and chocolate tablets.  Heat for 10 minutes, stirring constantly to dissolve chocolate. 

Add masa mixture through a strainer.  Stir continuously until mixture begins to boil and thicken.  Remove from heat and let cool completely. 

Spoon mixture into popsicle molds.  Cover and insert popsicle sticks.  Freeze at least 4 hours or until firm.