Where can I find a visual(s) illustrating a "Free Market" economy? 
Visual can be a diagram, graphic, flow chart, drawing or other format
that communicates the definition of a Free Market economy.  It should
describe how a free market works in diagrammatic form. The use of text
should be secondary to the graphic presentation. In other words, the
visual can contain some text but it should be limited.  The definition
of Free Market, for my purposes, is by Ludwig von Mises in "Human
Action".

Dear liberty,

This graphic should meet your needs:

http://home.foni.net/~scrippor/free_market_economy.jpg

It illustrates Free Market Economy under the two most important
aspects the Austrian economist Ludwig von Mises advocated in his
economic theories:

- a self-regulating market

- a government interfering only on a basis reduced to an absolute
minimum.

The original source of that graphic is the German Federal Center for
Political Education. I translated it, so you can use it without any
problems. In case you need the original version, for reference
purposes, you will find it here:
http://www.bpb.de/files/Q3MMIF.gif

Sources:

Bundeszentrale für politische Bildung (German Federal Center for
Political Education): Wirtschaftsentwicklung von 1945 bis 1949
http://www.bpb.de/publikationen/02928882900342117564450590382019,0,0,IZPB_259_Wirtschaftsentwicklung_von_1945_bis_1949_050402.html

Telepolis: Kapitalismus und Freiheit - Teil 2: Die Wiener Schule der
Volkswirtschaft und ihre amerikanischen Schüler, by Peter Mühlbauer,
13 Dec. 2000
http://www.heise.de/tp/deutsch/special/libi/4477/1.html

Search terms used:
"free market economy"
://www.google.de/search?q=%22free+market+economy%22&ie=UTF-8&oe=UTF-8&hl=de&meta=
"freie marktwirtschaft"
://www.google.de/search?hl=de&ie=UTF-8&oe=UTF-8&newwindow=1&q=%22freie+marktwirtschaft%22&meta=
"freie marktwirtschaft" (in Google Images)
http://images.google.de/images?hl=de&ie=UTF-8&oe=UTF-8&newwindow=1&q=%22freie+marktwirtschaft%22&sa=N&tab=wi&meta=
marktwirtschaft "ludwig von mises"
://www.google.de/search?q=marktwirtschaft+%22ludwig+von+mises%22&hl=de&lr=lang_de&ie=UTF-8&oe=UTF-8&newwindow=1&start=0&sa=N

Hope this is what you were looking for!
Best regards,
Scriptor

Scriptor's research was very prompt, documented and use a language
conversion.  The question had produced empty results prior to GA
services when several others tried to answer it.  My other wish is for
alternate diagrams, if they exist.  Some qualified economics folks
explain diagraming the Free Market (totally unencumbered by
government) is nearly, if not, impossible.  This is based on "visuals"
being unable to convey "non tangible" but requisite elements of
economic systems i.e. the Rule of Law.  Another difficult aspect is
the vutileness of making a communications piece (diagram) or
conditions that or nearly impossible.
Pure libertarians may argue (for) the "likelyhood" of occurance of
Free Market conditions while collectivists may view the Free Market as
unlikely, unneccesary or harmful.
Alternate attempts to diagram might surface/present the disputed
understandings of the definition of the FM.
While I would like several diagrams, the scriptor did answer the
question, one that evaded past reseach.  Scriptor cannot be
responsible for the accuracy of the diagram content; that is the
diagram author's responsibility

Thank you.
Liberty