By all means, if you have access to photos of the pages, take a look. The listings I mentioned are the LDS transcriptions, so it's hard to say. I've seen relevant parts of pages nearly white or completely black, so there's no telling what the document looks like until you actually see it.
On the other hand, the 1870 listing for James Cammel is easily legible, matching in birth, origin and occupation, but is it relevant? People do, at times, alter the usage and order of first and middle names.
For further investigation, this list of possible sources is borrowed from your other respondent:
Ohio Death Certificate Index, 1913 – 1944http://www.ohiohistory.org/dindex/
Ohio Birth and Death Records –http://www.ohiohistory.org/resource/archlib/brthdth1.html
Ohio did not make it a law to keep birth records until 1867.
TRY - Find a grave – FREE SITE - volunteer site all states; frequently has headstone pic
DO NOT SEARCH FOR A MARRIED WOMAN USING HER MAIDEN NAME.http://www.worldvitalrecords.com/
Try Vital Records – Birth, Marriage, & Death, Social Security Info., Census Records – FREE ALL STATEShttp://search.labs.familysearch.org/