Ohio, County Births, 1841-2003 Description Name index and images of county birth records in Ohio. The time period and type of record varies by county. How to Use this Collection » Search Collection View Images in this Collection Browse through 1431304 images Citing this Collection "Ohio, County Births, 1841-2003." Database with images. FamilySearch. http://FamilySearch.org : 22 October 2020. County courthouses, Ohio.