Janicek Family II

Someone found me some information on my Great Grandfather Anton’s brother John says that he was born 1862 in Nove Mesto which I’m not sure where and they told that they assumed it meant Nove Mesto na Morave near Dlouhy. And that his brother Frank was born 1865. And then Anton in 1876 so trying to make sure this all relates. And any information anyone can help me with would be much appreciated.