Then I think you will have success in researching the church archives in Eisenach. I did find Maria Christine age 6 and Libette age 3 also on the list of emmigrants from Sachen Meiningen. It's not uncommon for them to have more than one middle name, so I think that the Andreas Ferdinand age 11 on that list may be your great grandfather.
Good luck with your research
Ellen Kremmer Rugg