I have a full tree leading from Frank to William Lindley (my first cousin 4 times removed) whose son was John C and his son Frank John - who I assume is your ancestor.
At the same time, I also have the Charles Lindley and Prudence Graville story, who were around at the same time as William in Wisconsin - BEaver Dam rather than Fox Lake and were related....their descendant was William G Lindley.
I would be interested in making contact and sharing information, as I have managed to amass a reasonable picture of both these families, but obviously struggling to link to relatives who are alive and well!
Rev Andy Lindley
PS My parents still live on the common family farm in the UK.