As nachosdelux states all the points will go into the account that ordered the award. And yes that means this would be a way to move points from one account to another without paying any fees.

But with that said, be careful doing it. If it happens once, I doubt there would be any issues. (I have actually done it once with no problems as I really did want to cancel the award and change it to something else.) If you try to do it more than once though, it may flag your account which might cause Marriott to really scrutinize it. And depending on what they decide, they could possibly close your account and you would forfeit all the points.

I don't have any knowledge of whether Marriott does or doesn't track these type of point transfers as I don't know of anyone who has actually tried to do it 2, 3, 4 or even more times. So tread carefully if that is what you were thinking about.