You can retrieve birth, marriage and death certificates at the Monroe County Clerk's office in Monroe via internet: www.co.monroe.mi.us.
I usually get on yahoo and type in Monroe County Historical Museum Archives and scroll down to Archives and click on the site. Then when you are on the site click on online services and it will take you to where you need to be. It is $10.00 to retrieve the certificates and they also have obituaries from the museum to request too. It is a great site! The total cost is $11.34 and they are very quick to respond. I received my death certificate 4 days after requesting it. I hope this helps you.