Photoshop :: How To Get Again Access Of All Fonts On System

Until recently, all the CS6 applications accessed all the fonts on my system.
 
Now when I click in a font drop-down menu in Photoshop or Illustrator, for example, I only get a small sub-set of fonts (the ones I believe come with the applications).
 
How do I get the applications to access/find/discover all the fonts I have? 
 
Background: I am running OS 10.7.5 on my laptop, with Creative Cloud Membership. I also have CS6 Creative Cloud on my Desktop.
 
The only thing that has changed (that I can think of) was that I had an issue with Adobe Muse about a month ago, in which the Cloud server mistakenly said I had too many subscriptions / installations and would not let me update Muse. The Adobe Helpdesk people had to deactivate / reactivate the Creative Cloud Membership on my desktop to fix this. In between then and now I did not use any "exotic" fonts for the things I was doing, and so did not notice any missing fonts. Now I'm trying to update an older file that uses fonts not in the list.
 
When I checked the Help feature in Illustrator and Photoshop, it included such advice as trashing a Library file related to fonts. Wouldn't this make the CS6 applications stop working? or would the applications re-create the font "cache" from scratch again when you re-start them?