Working from yourself you have your Grandparents:
Father's Father; Father's Mother,
Mother's Father; Mother's Mother
Then you have Great Grandparents:
Father's Paternal Grandparents; Father's Maternal Grandparents
Mother's Paternal Grandparents; Mother's Maternal Grandparents
Then you have your Great, Great Grandparents:
I am sure that there are a few out there that will have the right answer
How would you describe them?
there are 8 sets and I am at a loss to come up with a meaningfull description to identify each set.