We are looking for a machine that makes baby carrots. I'm interested in
buying old and new machines that can make baby carrots in an
industrial setting.
Can you please research the following and provide answers?
1. Couple of company names that manufactures the machine to make baby
carrots for industrial use.
2. Also, how can I find out if any such used machine is available for
sale? Specific website or organization that deals with selling such
machines.

I expect that you mean "baby cut" or "mini" carrots.
Here is the story about them:
http://www.usatoday.com/life/lifestyle/2004-08-11-baby-carrot_x.htm

Maybe it will help someone discover the maker of the machines.

Hmmm, I thought that baby carrots were just that: tender young carrots.

On that other answer site  - the one that says "'...,' here I am" - 
someone said that there are machines that grate away 90% of the carrot
to leave a "baby carrot",

From Wiki:

A baby carrot is a carrot grown to the "baby stage", which is to say
long before the root reaches its mature size. These immature roots are
preferred by some people out of the belief that they are superior
either in texture, nutrition or taste. They are also sometimes
harvested simply as the result of crop thinning, but are also grown to
this size as a specialty crop. Certain cultivars of carrots have been
bred to to be used at the "baby" stage. One such cultivar is
'Amsterdam Forcing'.

In North America the term is more commonly applied to carrot-shaped
slices of peeled carrots, invented in 1990 by Mike Yurosek, a
California farmer, as a way of making use of carrots which are too
twisted or knobby for sale as full-size carrots. Yurosek was unhappy
at having to discard as much as 400 tonnes of carrots a day because of
their imperfections, and looked for a way to reclaim what would
otherwise be a waste product. He was able to find an industrial green
bean cutter, which cut his carrots into 5 cm lengths, and by placing
these lengths into an industrial potato peeler, he created the baby
carrot. In 2006, most baby carrots come from Bakersfield, California,
and make up a third of sales of fresh carrots in the United States.
Grimmway Farms is the world's largest grower, processor, and shipper
of baby carrots.

So...is the answer STILL using a green bean cutter and a potato peeler???

For Grimmway farms look at http://www.grimmway.com/Consumers/ under
Baby Carrots and Process.

For machines:

http://www.backusfoodtec.com/peeling/baby-carrot-line.php
http://www.sormac.nl/eng/carrots.htm

Here is another company:
magnusoncorp.com