If the LDS does not have the church records, they probably no longer exist. If they do exist you would need to check for them in the archives in Frauenbreitungen/Breitungen, in Meiningen, or in the capital Erfurt. If you cannot travel there, you can find excellent genealogists at www.apgen.org. Fees typically are around $75 per hour with a retainer equivalent to several hours' work. They are paid whether the records exist or not.
Sadly, this area was in the Soviet occupation zone at the end of WWII. They carted off truckloads of civil and church records to Russia, and they have never been returned.
By the way, I checked all databases, not just LDS. There are no records for either of them.
Was there anything you didn't understand about the answer? I will be happy to explain it for you. If not, I would appreciate a positive rating since that is the only way I am paid for my services.