"Root" parent? Hmmm. Do you mean their father and mother or grandparents? I know that in some cultures you do NOT name the child after anyone who is currently living, so if you mean the child's mother and father... that would not be a tradition everywhere.
But then you get some Catholic families who all name the girls in the family Mary [something], like Mary Ellen, Mary Elizabeth, Mary Margaret, Mary Catherine... they are "called" by their middle name though.
I'm trying to remember... I believe it is Koreans who name the generation all the same name. I worked with a guy years ago who told me this. He and all of his siblings and cousins (male and female) all had the same name.