Quick response!John Jones Sater married twice.1st Nancy Skillman Larsen b. 27 Sep 1818 and married 19 Feb 1834 in Danville, Des Moines County, Iowa. Your postings are correct for Jone Jones Sater and I have that history.
He 2nd married Nancy Pottenger b. 1818 d. 1865 married about 1836 at New Haven, Hamilton County, Ohio.She is the one I am trying to find. Source is marriage records for Hamilton County, Ohio.Search of Pottenger Family history does not show a Nancy Pottenger/Pittenger so far.
John Jones's sister Hannah Ellen Sater married Thomas Pottenger and show up in Sater genealogy as related to Nancy.