I have here an expensive watch with Sapphire crystal, and another
cheap watch with glass/mineral crystal.  I read somewhere on the web
where it says to test or tell the difference, look for a pink hue on
the edges of the sapphire crystal, and water drops should roll right
off the sapphire crystal, whereas on the mineral crystal, water sticks
and the edges have green hue.  I cannot tell any difference in color
between the two crystals (and why would sapphire have a pink hue
instead of blue?).  Also, water seems to STICK to the sapphire
crystal, but not to the mineral crystal.  Either I bought an expensive
fake watch, or maybe I have gotten wrong information.

How do you really tell the difference between a genuine sapphire
crystal and a fake (mineral crystal).  And why or how does water stick
to one type of crystal more than the other?

Caveat here is that Im not a jeweler. I work with lasers, so the idea
of a large optically clear sapphire is not that odd, so I'm going to
assume that it "sapphire" is really the same thing as the gem, and not
like the "ruby" coating on cheap bionoculars (which is just ruby in
color). I have three suggestions:

1) Take it to a jeweler/ appraiser.

2) The Mohs hardness of quartz is 7, sapphire is 9, you could do a scratch test.
http://mineral.galleries.com/minerals/hardness.htm

3) Use (my favorite) Raman spectroscopy!

Here are a couple of sites:
http://www.servicemerchandise.com/crystals.html
http://forums.timezone.com/index.php?t=tree&goto=1473595&rid=0

The second one repeats the tests that you mention, though I rather
wonder if one can see the color effect at the edge of the crystal when
it is mounted on the watch.  Grease or oil from your skin can upset
the water test from a little experiment I just made.  If the crystal
is a bit greasy (my thumb) the water seems to roll, but maybe not like
on a sapphire crystal, which mine isn't.