1. Install SQLite Manager plugin for Firefox
2. Map the c$ (or other) drive of the IP/hostname of the desired system, using an Administrator account (i.e. map \\whatever\c$ to Y:).
3. Copy the sqlite.places file from the user's profile folder (example: Y:\Users\username\AppData\Roaming\Mozilla\Firefox\Profiles\profilename).
4. Use the SQLite Manager in Firefox -> Tools: you want to open the file you copied and look in Tables -> moz_places