After consulting several swedish and multilingual dictionaries, I found only one meaning for the word tyg: cloth, fabric. In Norwegian, the verb tygge also means to chew, but this is the only reference to eating and drinking that I could find with my rather poor Swedish skills. However, I did find a picture from an English website which was similar to your description:
http://www.metmuseum.org/explore/Tiffany/metal02_larger.html
Kinda puzzling, I'd say. Hope someone has an access to something that could explain where the word tyg has come to English...