Internet Explorer simply saves the original files to the Temp. Internet Files folder, but Firefox doesn't. Instead it generates a file with no extension or association with a random file name and stores the code in that, making it difficult to 'recover.'
What you'd have to do is find the file you thing is it, then rename it adding the.swf extension at the end and see if it works. This can obviously be frustrating, tedious, and actually potentially dangerous.
Open Download Folder Adobe Flash
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Instead, I'd try one of the following options: 1.) Use Internet Explorer to view the site/video, then recover the.swf file from Temporary Internet Files. 2.) In Firefox type in About:Cache, click List Cache Entries, then use ctrl + f to search for and find the 'swf' ending.
Location Of Adobe Flash Program Files Free
Once you find the one in question click on the link to be taken to the next page with more information. On that page you will be presented with a direct link to the Flash file. You can then do a Right-click->Save As to save the video to disk anywhere you like. 3.) Experiment with third-party utilities ( that can capture the flash file for you. Personally, I'd take option #2, but that's just me. Hope this helps, John P.S.