Allan, I only know two easy methods for removing broken drill
The first is the old boiling alum trick, you know, you buy alum
in the pharmacy and put it in water and heat it, then put the
bracelet in and you will see bubbles coming from the drill hole,
except it is slow...
Otherwise, maybe you could use a carbide drill or bur (my
favorite technique). You can easily drill right through the old
Probably not a lot of help, just my 2 cents worth...