I had two sets of grandparents on my father's side, and it never seemed to be a big deal to me. It was Grandpop, and Grandma Jenny, and Grandma and (for whatever reason) Ralph. I don't know why he wasn't Grandpa Ralph, except perhaps that he and my grandmother never married. Ralph, actually was my favorite.
Now for the irony--my father's father and his family didn't like us. My mother was my father's second wife (his first wife left him, so it wasn't as if he had a choice in the matter), and my father's family shunned both her and us. My half-siblings were never acknowledged to be part of the family, and my brother and I were never called by our names--we were "the boy" and "the girl." I know full well the kind of family animosity that simmers under the surface and refuses to give names to those it dislikes. I suspect that Grandma Beatrice knows it too, and maybe she's just had enough. Or maybe she was just curious. Either way, it's a shame that this child's parent was unable to overcome what I imagine is their resentment at the "replacement" of their own mother by someone else.
Further irony: my grandfather died of a long, drawn-out form of cancer. My father and mother were the only members of the family who cared for him in his illness, to the point of moving into his house to be on call 24 hours a day. Family is a funny thing...