The original hotel was destroyed in the fire of 1871 and rebuilt in 1872.  It appears as #9 in this 1893 3-D Rand McNally map, Univ. of Illinois at Chicago imagebase:
http://tigger.uic.edu/depts/ahaa/imagebase/intranet/chiviews/page153.html

View of hotel after the fire: http://homicide.northwestern.edu/timeline/1871/large/213.jpg