I'd weigh both of them to start and compare the findings with a genuine one. I would also acid test the first one. The silver dollar is a common date and unlikely to be counterfeited but it has kind of a funny looking rim. Maybe it was in a bezel at one time?
That Morgan looks pretty fake to me. I'm not trained enough to spot the different reverse varieties of Morgan dollars (I've heard that lots of fakes have wrong pairings of dates with reverse types) but the rim/border beading looks all wrong, not to mention a lack of sharpness/definition in other details, which suggests a plated cast piece faked before the Chinese got better at their craft. If you obtained both from the same source, I'd expect both to be fake.
Hi I was wondering does your Morgan Silverdollar open up ? I have a trade dollar and it kind of looks like yours, the Morgan but it's hard to tell from the picture.
But after you shake it loose or mess around with it and it opens up course mine has a baby picture of me in it but they used to be is like a stash coin or something. It even has the same marking on the front like yours does but this one's underneath the date for where the hinge would be on the inside. Even if you have to take a razor knife maybe I'm pride down in between there. But to me yours looks like it would open up too.