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As you gave no dates/approximate dates, can't tell even what century you are looking for this family!
And that, coupled with no names provided, it's hard for anyone to assist you. Try the link below on familysearch.org and you will find literally hundreds of Mihm's records in this area.
Maybe one will ring a bell.
https://familysearch.org/search/records/index#count=20&query=%2Bsurname%3Amihm~%20%2Bresidence_place%3A%22dekalb%2C%20il%22~%20%2Bresidence_year%3A1800-1930~
