How to: Sawdust Fired Ceramics. [fun in the backyard!] video shows how we made some pottery using the technique of sawdust firing. This is something you can easily do at home as it only requires a brick-lined hole in the ground ro fire the pots.
Although this tutorial is about making vases, it applies equally well to making tumblers. First create a template by wrapping a stiff material around the glass and trimming it to size. Roofing paper works well for making templates for clay handbuilding. Building it over the original glass helps to hold the structure. Baby power can be used instead of a non-stick liquid to help the clay to slide off. Don't forget to add a bottom.