I wonder if since you posted this you have learned anything more. I am familiar with the name Fechner from the Lodz area. I am unable to find anything relating to a name Pietrakow. I think Aoelia is probably a misspelling, also. There is a location in Poland: Peotrkow, or Petrikau. What is the source of the information you have? I may be able to help you with Evangelical Lutheran research. Get back to me if you are still looking.
-Joyce