I just returned from my local library looking for Hamilton County, Ohio marriages.Unfortunately, it did not include the years before 1870.Just my luck.I did get a chance to look at an abstract book listing the deaths and marriages in the Cincinnati Gazette Notices 1827-1881.The Gazette listed the following notices.
John Arthurs 23 Aug 1833 (not necessarily the day he died, but the day of the notice) he was 34 years old. Henry H. Arthurs 29 Jun 1832 (again the date of the notice of his death) Jeremiah Arthurs died 27 Mar 1832 (notice given on 30 Mar 1832), and Jesse Arthurs died 27 Mar 1832 (notice given on 30 Mar 1832).
It almost looks as though the family went through some sort of epidemic that took three children and the father? I will see if I can get the complete transcript from the Cincinnati Public Library.