I'm looking for the name of something i've seen both in a shop in
Germany, and in a Belgian restaurant. It's a long paddle or plank,
with holes or indentations for multiple shot glasses cut into it. It
enables a bartender to serve shots to a large group of people at once.

Specifically, i'm looking for the name, because i'm trying to purchase
something like it and i'm having trouble finding any reference to one
online. If anyone can come up with the history of it as well, that'd
be nice too.

I couldn't find a history, or a place to buy, but this may help.

These sites refer to the item as a "shot board":

"While a handful of wines, mostly imported Rieslings, are available
and attractively priced (bottles run from $12.95 to $26), they don't
make the splash the waitstaff-toted shot boards do. These boards are
thin meter-long planks fitted with cavities to hold a dozen shot
glasses of a German liqueur, like the sweet, cinnamon-laced Apfelkorn,
the familiar licorice-like Jägermeister, or a bunch of others. These
shots ($3-$4.50 each; $30-$36 a dozen) arrive so dramatically,
extended, trembling, so far in front of your waitperson in such a
foreign, tough, appealing way, that they're virtually
irresistible--which is why you'll see people you never would imagine,
like 80-year-old couples on dates, doing shots."

http://www.citypages.com/databank/18/877/article1776.asp

"Also in the neighborhood, go to BELGO, ideally with a big group, and
order shot boards (long pieces of wood with 8 to 64 holes for shot
glasses..."

http://www.ricksteves.com/graffiti/archives/deliciousbritain_01.htm

Thanks... that helps. It's actually at Belgo where i first saw one.

Here is a site with a couple of "Schnapsbretter"  (sing., Schnapsbrett):

http://www.fun-equipment.de/

There are a few more sites, ebay included.