Note: An Ancestry.com Public Member Tree speculates that this was the date of the marriage license, since an alternate marriage date of 1 Jan 1834 was found elsewhere (in a newspaper at the time of John's death). The notes on the right-hand side of each page (see the following image), seem to support this thought, as they identify people who vouched for the age of the couple and/or consented to the marriage. (No such notes for this couple.)
married 1 Jan 1834 in Jefferson County, Ohio, with the comment "Only application [for marriage license?] found, estate administration in newspaper at his death"