I'm really not that knowledgable on the names for all the quilt blocks but, when I looked at it I was reminded of x's and o's. Maybe it's just a different version your grandmother came up with. I also have a quilt my grandmother made with dresden plates, I can remember my mom pointing out different pieces of the fabric and telling me about a dress she had made from it. The date 1939 has been embroidered in one corner.