What type of drill bit did you use to drill through glass lid?
I used diamond cutting bits on a dremel tool. They're available at Harbor Freight for ~$10. If you try them, be sure to do wet cuts only; you definitely don't want to breathe glass dust. I had the parts submerged in a baking pan filled with water and the tip of the tool was submerged the entire time.
I used the same tips in the same way to cut the notch in the lid for cords. Also do not try to cut tempered glass, it will explode instead of cutting.