Maybe the Belsogyrb could be Felsőgyöröd? That is in the present Slovakia, in the former Bars county. Far of Déva.
About Rusor. It is very interesting its name-ethymology. It means, that in the historical times lived here a lot of Ukrainian people. It is possible, because among the house of Árpád, and the Kievian Rus (Kiev Empire, the "rus" means: Viking) the contact was very close, and a lot of people immigrated to Hungarian Kingdom which received pleasantly the "others" if they were busy, correct people.(also from there)
Names:
Samuka = nickname of Samuel
Sárika = nickname of Sára/Sarolta (the Sara is similar to Sarah, the Sarolta is an ancient Hungarian name, means white weasel)
Rezsi = Rezső similar to Rudolph
Erzsike = nickname of Erzsébet = Elisabeth
Marci = nickname of Márton = Martin
Zsiga = nickname of Zsigmond = Sisgismund
Manó = nickname of Emanuel
Enjoy these maps of the old Kingdom: http://lazarus.elte.hu/hun/maps/1910/vmlista.htm
You can find, where in your ancestors' age were Bars and Hunyad counties, also Sárospatak in county Zemplén (a friend of mine will send you a record, it is a little probability, but maybe the relativness could be correct?)
Lajos Reich, Hungary