I tried the LDS FamilySearch <
http://www.familysearch.com> for this union and came up empty. I also cannot find anything in my personal hard-copy files.
It would be easier for someone to help if you had additional information in your message. Do you have any birth, marriage or death dates of either of them?
Where in the America did they settle?
Do you have the names of any of their children?
Maybe someone else will have better luck connecting with your Aebersold's.
Good hunting !!