Well, I know this query was nearly five years ago, but here goes...
The maker is Colin Heaney of Byron Bay, the most easterly town on mainland Australia.
The signature reads CBHg for Cape Byron Hot Glass, his business name used in the late 1980s and early 90s. The sticker may say Heaney Glass Australia or Cape Byron Hot Glass Studio or similar, as several different versions have been used. The date is 80-something, but hidden by the sticker.
You can see several examples of the signature and some versions of the sticker on
Steve Lynn's website.
It is easy to find information about Colin Heaney. He was born in Canada and came to Australia as a young man. He started glassblowing in 1983 by importing a US expert to set up a furnace and show him how to do it. He was enormously prolific in studio glass at all price points from simple paperweights to large and elaborate organic sculptures. His wildly successful business at one time employed 15 people. Almost everyone who was anyone in hot glass in Australia in the 1980s and 90s worked there at one time or another. He sold the glass business a few years ago to
Matthew Farrell.
Colin Heaney now designs silk scarves and swimware (all very fetching, too!). Google to find examples of his designs in glass and silk.
Trevor
PS. I claim no prize in this instance for the longest time between a query and an answer. This one is only 4 years and 7 months old. I've just answered another query that is a mere 12 days short of its fifth birthday.