In case anyone wants to see, here's a quick little test render of a simple parachute-like object that I have been testing with in order to observe the translucent effect on both the inside and outside surfaces.

This render uses blurry transmissions (not blurry reflections) with the specular color set to white.  One difference is that I'm using a negative object that is transmitting a flat white color to the inside of the object, which seems to help with making the inside surface look more realistic.  Both the inside and outside surfaces are using a transparency value of right around 50% in order to test and observe the translucent glow effect more easily.  (There are no lights in the scene other than a radial light at the location of the flame.)

I'm pretty pleased with this result thus far, and deeply appreciate all of the terrific input that people have been offering.