Our other three trophies have connections to both states. The Jug, built and sold in Minnesota, bought by Michigan. The Axe, Paul Bunyan is important to both Minnesota and Wisconsin (although Paul only visited Wisconsin to go to the Dells). The Pig was a bet of a pig between the two governors. The bell is generic, and uses a symbol associated with Pennsylvania, but nothing ties it to Minnesota.
I don't know if they will pull off Penn State's vacated wins, but I think the trophy will just limp along.