It would help if you could narrow the time of John Wink's disappearance a bit. Do you have a date? How about a month and year? Okay, okay, how about a year at least? Is there a tombstone for John Wink, and does it give a date of death?
I see in the LDs index of the 1860 census an entry for him as head of household on page 389 in Brunswick Township, so that name and the name you gave agree, which eliminates some problems.
Bruce Nichols