Tracy,

The illustration is catalogued in WorldCat.org:

http://www.worldcat.org/title/men-of-the-day-no-22-brete-sic-harte/oclc/57747350&referer=brief_results

According to that entry it appeared in "The Fifth Avenue Journal"
copyrighted by Augustus P. Dunlop, 1872.  Notes on that Journal indicate it
was published every Wednesday at 27 City Hall Square, NY.   However, there
is no info given on which date the illustration appeared.

The entry also notes that a copy is held by Boston Athenaeum.

Barb