Hello, this is very exciting. I checked the location name, there are different variations of it: Нижнє Солотвино, Нижная Солотвина, Nižná Slatina, Solotvina, Alsószlatina. It's a village in the Uzhhorod region that has 836 people. The reason it has so many names is bec. it's located in a spot where different cultures crossed - Slovak, Ukrainian, Hungarian, even some German and Polish...
Ruski Komarivtsi is a larger village, I think Solotvina might be a part of it.
BTW, there is a famous Slovak opera singer named Martin Babjak:
http://www.snd.sk/?detail-6&meno=babjak-martin
http://www.youtube.com/watch?v=AT3y8sGCyNA

The problem is, there are so many people with this last name living in so many different locations that it's quite impossible to figure out now who is related and who not. Especially bec. there was such a big migration there last century. But still, it's very exciting you at least have a birth certificate of your gr-gr-gr father!

(I guess we should start some Babyak fan club, who knows, it might be interesting to meet each other:)))