Absolutely. But my thinking is that is you have the names of all the family--say my Great Grandmothers 7 siblings, then you should see some of the names carried over unless there was a death or what have you. I will say this...it is confusing when all the family names keep repeating themselves and when the family names from the village are so common.
It is a tradition that many families have carried on. My family did this...they had absolutely no imagination when it came to names! In fact, one set of my great-grandparents lost a child, and then gave that child's name to the next child, who was born just a day after the first one died. So family names were extremely important to a lot of families. Even today, more than 100 years later, some of the family names are still being used with my relatives.