Bwaaahaha! That's what I told myself, "Just try it, already!", and look what happened!  I really can't believe that this worked out as well as it did.  
Because I save broken glass stuff  (I can hear you, Eric!), I had two broken wine glasses from the set that belonged to my parents, one glass with a broken base, and one with a broken top.  It occurred to me that maybe, just possibly, I could use the torch to combine the good parts to make a new glass.  I figured I really didn't have anything to lose.  
I couldn't believe that the glass didn't fracture while heating up or cooling down.  And I can't believe how well the junction turned out.  I hoped to do something besides a lump where I melted them together, but I didn't expect to be so happy with the connection.  This "crystal" glass seems to have a fairly low melting point, but not the sensitivity to thermal shock that the "soft glass" rods that I have for bead making have.  Score!
Before you start bringing me broken wine glasses to fix, keep in mind that I think this was beginner's luck!  A martini glass that I tried to re-attach to its base did not work.  So it goes back in the garden.
Uh, those weren't the only glasses to break. This is one that I slumped in the kiln until it was flat. I did this a while ago.



 
 








