Help - mirror removal

I'm stuck trying to remove a mirror from my bathroom wall. There's
no obvious screws or brackets holding it to wall, and there's only
about 1/16" clearance between the mirror and the wall. If I had to
guess I'd think it was stuck to the wall with heavy duty two-sided
foam tape, as there's absolutely no wiggle to it at all. I tried prying
up one side but just managed to chip the mirror. There's a very
small metal bracket at the bottom that the mirror appears to be
sitting on, but again there's no obvious means of attachment.

There's a 2nd smaller mirror inset in the center of the larger mirror
with about the same 1/16" clearance between it and the larger
mirror. Before I go breaking the mirror into pieces getting it off,
I thought I'd check for ideas. You can see a couple pictures of the
mirror here: http://members.cox.net/chiefneil/mirror.htm

BTW, I slid a putty knife under the mirror, all the way around
the perimeter without encountering any resistance, so if there's
any tape/screws/whatever, it's not within 4" of the edge.

Thanks,

--Neil