My daughter made out the check to the state of Michigan , what should I put on it so they know it’s from me also the address to send it to.

Put your ssn, the form # and the year it's for on the memo line and on the back.

you're not allowed to write on the back of checks except in the endorsement line.

And you're not endorsing.

Skip the paper check and do it online directly:  

https://www.payconnexion.com/pconWeb/public/session/authentication_input.action;jsessionid=46E0A03DDA9D38E97CC6053468046D9D.tomcat_00081119_8120