Does Michigan have gophers?

According to the pros at the University of Nebraska who conducted a fairly detailed study on these animals back in the 90's, no, Michigan does not have gophers.

That does not mean that things could have changed and they might have moved in. An easy way to determine if gophers have taken up residence is to inspect one of their mounds. Gophers tend to eject dirt from the burrow in a distinctive fan shaped pattern. Mole mounds are always shaped similarly to a volcano.