Masonry & "The Goat"
A Pictorial Essay On The Curiously Obscure, Invariably Vague Phenomenon Known As "Goat Riding." (aka, a little humor at our own expense).
The bottom line is, (apparently), at some point during the late nineteenth-early twentieth centuries, hazing was a lamentable part of at least some lodges among the fraternity.  The origins of these ribald rites can be traced back to eighteenth century France and England, (cf., Albert Pike's "Porch & Middle Chamber" or any old French ritual for details).  Apparently, riding the goat as well as other, similarly strange methods of hazing were indulged in, not only to ensure the candidate's willingess to trust his prospective brothers, but to amuse them somewhat as well.  Documentation of this practice, as with any Masonic endeavor, is indeed scanty, but you can click HERE for a look at a page from an old masonic catalogue that should illustrate just how widespread the practice was.  Click HERE for an animated "goatrider" slide-show.       
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Yep, it's the read-headed step-child of Masonry.  No one knows much about it, cares much for it, and is genuinely embarrassed by it, so they certainly don't carry on much about it, except for the occasional joke or query by a new brother.  Yet for all that, it's a stubbornly enduring legend, as this T-shirt currently available on eBay shows.  (Click on the word "T-shirt" above).
What are all these nutty old postcards
going on and on about?