"How many geese in a gaggle?"
"Oh, no. I am a virgin." "Is that good?"
"Seven times round the seven hills of Rome."
"I smell like a sweating horse."
OK. I'll stop now.
I wouldn't do glass. Glass is iffy for rings anyway. It's breakable, and props tend to get knocked around. It's not a situation where you want to have something that has to be treated with care.
It's also going to be hard to get the kind of detail that you want with glass. You'd need to do recognizable birds small enough that it's believable that there would be several going the whole way around the ring. That's going to be tough.
I'd go with metal, and I'm thinking copper because it's cheap and it's soft. You could form it into a band, and I don't think you'd need to solder it. You could get away with it for a few performances without the join being soldered, I think. (People who actually know what they're talking about when it comes to metal are welcome to add their opinions here.)
You can stamp a bird design into the metal. There was a recent thread on sources for metal stamps, and I've pulled some links from there. You can take a look and see if any of them suit. I doubt any of these have geese per se, but there are some birds, and theatre's all about illusion, right?
http://www.harpermfg.com/hm_designs.html
http://cgi.ebay.com/4-Pattern-Silver...QQcmdZViewItem
http://www.lisanivenkelly.com/shop/
Here's the link to the Metal Stamps thread:
http://www.lampworketc.com/forums/sh...ghlight=stamps
Metal stamps do seem to be pricey, and are frequently sold in sets -- but maybe you could sweet talk the eBay seller into selling you a single bird? (It looks semi-gooselike. Well, from a distance. If you squint.)
If you don't have any experience with metal, say so, and people will be glad to give you enough tips to get you through. It's going to be basically cutting a strip or a rectangle (which normally you'd do with a jeweler's saw, but you could do with metal snips for this, probably), filing the cut edges so they're smooth (tedious but not difficult), stamping the image (which means positioning the stamp and giving it a solid blow with a hammer), then putting the strip of metal around a ring mandrel, which is a graduated cylinder of metal (usually marked with ring sizes so you know where to put the metal), and tapping your metal with a mallet until it forms into a nice circle. Maybe you even know somebody who makes jewelry who could let you borrow a tool or two -- or who might be dragooned into helping?
I just don't think this is a great project for glass -- sorry.