Gerald, I found this in the Flash site support section...don't know what browser you're using or if this will help, but here it is (from a 2011 post so I don't know how relevant it is)...
Please unselect the option to delete cookies when closing the browser. This will otherwise delete your Flash "cookies" (the correct term is LSO - Local Shared Objects) when you close your browser. As mentioned earlier, this is new in Flash Player 10.3. The Flash Player is now more tightly integrated with browsers due to privacy concerns. This has the effect that if you choose to delete cookies (either manually or on exit of the browser), these LSOs will be removed along with the regular browser cookies.
Thanks,
Stephen
Flash Player team