Roger, Germans themselves are very interested in genealogy and churches in Germany are thus accustomed to receiving genealogical requests. Most churches are very helpful, but you should offer to send them a small donation in return for their trouble. I always received large envelopes of information back from any church I ever contacted -- above and beyond my initial request. I always sent the equivalent of a $25 donation.
There are three Lutheran churches in Crimmitschau, so I will give you the contact information for the central office that serves all three. I think it would be easiest if you would start by sending them an e-mail:
Zeitzer Str. 1