TheFaceCirca39
Adobe Flash Player is a browser specific application.
Same version number for IE & FF but a slightly different download application.
Firefox > C:\WINDOWS\System32\Macromed\Flash\NPSWF32_14_0_0_145.dll
IE > C:\WINDOWS\System32\Macromed\Flash\Flash32_14_0_0_145.ocx
I meant for you to search your computer directory following the path above.
Imacri has posted excellent instructions for you here & here.
You are not using your browser to install Flash Player. You are using your browser to download and save the download to your desktop. You will run the installer / uninstaller from your desktop.
In IE & FF the Adobe Flash Player is called Shockwave Flash 14.0.0.145
FF 31 & IE are compatible w Adobe Flash Player. Adobe Flash Player is compatible with FF 31 & IE
There is from Adobe a browser specific Flash Player download for FF and a browser specific Adobe Flash PLayer download for IE.
Please see Imacri posts.
Respectfully