(It is spelled "OMER", not Omar, in the census. I'm not correcting you. I'm pointing out I typed much more carefully than I normally do on this one. That gives you another name to search for. As you progress, sooner or later you'll run into a "Cripes", too. My grandfather Wilken spent half his life telling people "EN, no 's' at the end", and he got recorded as "Wilkins" half the time anyway.)
has CRIPE, JAMES m. FRANTZ, LIZZIE 03/27/1887 PIATT CRIPE, JAMES W m. OVERLY, NETTIE 02/05/1893 PIATT
James W may be a cousin, named after the same grandfather. Since children out of wedlock was rare then, and Ruth was born in 1888, I'd bet James' late wife was Lizzie Frantz.
http://www.familysearch.org/http://www.familysearch.org/ has James and Lizzie, but they have James b. 1863 and dying 1980. That may be a wild error, or he might have died 1908 and someone switched the last two digits.
There are two people on the PRF who have him; th elink above will give you their addresses at the time they sent in the data.
6 people on RWWC http://worldconnect.genealogy.rootsweb.com/cgi-bin/igm.cgihttp://worldconnect.genealogy.rootsweb.com/cgi-bin/igm.cgi have James and Lizzie, but they all copied the AF and none of them have notes pointing out their suspicions. You'd do them all a favor if you'd write to them.