I looked at your information and I don't have anyone in Michigan. That does not rule out the possiblity of still being related. Perhaps your Emery's ancestors came from SC. Families move around.
What year was your father born? You said his mother might have been from Tennessee. There were a lot of Cole's in Tenn. from what research I've seen. We've had them in Georgia, Alabama, Mississippi, NC, SC, Texas, I believe also in Oklahoma and Arkansas. Good luck and keep looking something is bound to show up. I've been looking for my mothers family for about 20 some years and finially came up with the information. Also, check the Social Security Appication of your father. He will have filled it out and said who his parents are and his birthdate and place. It costs 7.00. Look forward to hearing from you again. Carol