Uninstallation of files created by application activity

In my application, user may download files and select where to store them. These files can be opened only by the app, so when I uninstall it I want to remove the files, too. I don't want to remove the user selected directory, because there can be other files which aren't related to the app.
I'm thinking of writing the paths of these files to a text log and then making the uninstaller to open the log and remove the files from it that are still there. Maybe there is already a solution for this?

That is how you should do it.

Stu

Thanks!