The full config should be Sharepoint_DB - so it would be a full backup of the Config Database. If you are looking for the webconfig you would be able to find those in the file backups under the path you specified
Drive\Inetpub\Wwwroot\WSS\VirtualDirectories\<port number of your web-application>\web.config
Here, <drive> could be C: or D: or E: , it depends on which drive your virtual directories are getting created.
<Port Number> , you can pick it up from the url of the site where you want to place your webpart.