I believe the village you are looking for is PETRIKOVCE, SLOVAKIA about 15 km due south of Michalovce. A great mapping tool to see this village in fairly accurate setting is mapy.atlas.sk

PETRIKOVCE church records have been filmed and logged by the Mormon's Family Center. You can view them for the cost of film rental (about $3.50) at any Family History Center affiliated/attached to most every Mormon Church, so there is probably one near you. Go here http://www.familysearch.org/Eng/Library/FHLC/frameset_fhlc.a... , use PLACE SEARCH button, enter PETRIKOVCE in the place field and you are off and running.

Now, you must be fairly certain of the village name. How did you come upon it? How did you determine the spelling? This is important since there is another town located also in the region called PETKOVCE.

You will also find many BABINC'A'K, BABINC'A'KOVA' in the phone book, (which is masculine/feminine, with the correct pronunciation.) None live in PETRIKOVCE but that is no suprise. In some area, more than half the residents of small villages have moved to the cities for employment within the last 20 years.

Go here http://www.centroconsult.sk/Support/phone.html#codes for how to instructions. I used MICHALOVCE code of 056 and entered only BABI for the surname to find them.

Finally, why did you post Lackovce in your title?

Good Luck and let us know how you make out.