Having looked over what is on the Web, I'd say that your problem is not the lineage (which seems clear to me) but in the surnames used. The book on Google calls the family's surname "Ward" while there are records that indicate they used "Clubb" (the mother's name). The same people, apparently. This may mean that there was no legal marriage or that, for some reason, the mother's name was preferred; neither would be unusual.
If I were you, I'd say that this is the time to do some local research. Online, look at
https://raogk.org/missouri/wayne-county/ (incidentally, if RAOGK) has a physical presence in Wayne County, you're in luck. Another great site for local research is the GenWeb project--the one you want is at
https://sites.rootsweb.com/~mowayne/ (warning: this organization is strictly volunteer and puts up only what the volunteers are interested in. Ideally, you may need to go there yourself but, if a trip to Missouri is out of the question, you might check with the local historical society (
https://www.facebook.com/HistoricalWayneCountyMissouri/) or genealogical society (couldn't find a web site but there are references to it).
Wayne County--who has which records:
https://www.familysearch.org/wiki/en/Wayne_County,_Missouri_Genealogy