You might try one of the freeware software programs that recovers software registration keys to find your Office registration.
https://www.google.com/#q=free+data+recovery+software+registration+key
Also:
http://www.belarc.com/free_download.html
Interesting.
Belarc lists my 8.1 64 bit OS key, but not an Office Key.
hmmm.
cool software BTW, thx.