Start w/how-to tutorial re researching LDS films. This is by far the best resource for anyone researching their Galician (Halychanyn) roots. Order the film of the GC church records*** that I recommended in previous post and take it one step at a time. The newer records are in Latin, making it fairly simple for you to recognize the names. Copy the records and whatever you can't figure out, we can always translate. http://www.halgal.com/vitalrecords.html
There is a great deal of satisfaction if you do it on your own, if only a little bit. Click on to film of interest and follow instructions. For appx $15USD you can create a family tree dating back to 1873.
Fred probably anglicized from Baptismal name Teodore (called nickname Fedor or Fedko by family)
Annie = Anna (on rare occasion I have also seen it based on given name Anastazia)
If you find it too difficult to research on own, I can always recommend a local who can help and not charge an arm and leg.