Do the top tier TPGs have a database available for you to look up their slabbed serial numbers? For example, is it possible to look up a serial number for a slabbed Morgan to ensure that the slab should contain a coin with that year, type, and grade in an effort to help ensure the slab isn't fake?
Yes! http://www.pcgs.com/cert/ As for NGC, here is how it can be done: "Paid members of the Collectors' Society also have access to a tool to look up and verify NGC certification numbers. NumisMedia pricing will be added to these screens, showing a price for coins that are looked up. " You might try calling them and maybe they'll do it for free.