You are very lucky that you at least have an idea of the names of the towns. You can't get anywhere without names of towns.
The first step is to find out the correct names and exact locations of these towns. You should post on the Hungary board. There are some people over there with either incredible memories, or excellent gazetteers. Also an understanding of the language.
Once you have the town pinned down, the next step is the Family History Center at the LDS Church. http://www.familysearch.orghttp://www.familysearch.org See if they have the records from your town. If your towns are indeed in Transylvania, you probably won't have good luck at the FHC. But you might hit the jackpot.
You may have to use the archives in Romania. I understand this is difficult. You can hire someone in Romania to do this.