The Custom HTML module that comes with Joomla will automatically filter out script tags and other things when you save (which can be very annoying). However, you can use something like the below (free) extension which lets you add anything to the module and it won't be filtered:
extensions.joomla.org/extensions/edition...code-in-modules/2861
The other option (if you like the rest of the JFBCLogin module) is to do a template override of it, and updating our call to get the button there with the custom image code (look for "$jfbcLibrary->getLoginButton()") and replace that. For more information on template overrides, see:
www.sourcecoast.com/extensions/troublesh...s#template-overrides
Again, just let us know if there's anything else we can help explain or help out with!