My name is Milan Nemec, I come from Slovakia. I think, You and I are from the same "family tree": Nemec, from Brekov. I think, we are not close relative. I have some information for you. I investigate few information about our name.
First, Brekov is not in Czech. Brekov is village in Slovak republic, on the east.
Name Nemec is very popular in this area, in Slovakia too. So, it is very important to know, from where your grandfather come.
It's not so difficult to get some information about your ancestors: I find any information in State Archive in Presov. There are birth records about people form east Slovakia, specially from Brekov. Please, try to write them your question (firstname.lastname@example.org)
Many people from our family went in America in same time as your grandfather. Probably, there are many your realtives in USA. In Slovakia, we try to find any information about relatives there. Have you any information about it ?