I am beginning to see it now.
Duster you are real close, but not quite there. With a sashing & cornerstone, it makes a 9 patch in the corners. I think the orange peel melon is smaller. The outer piece should be one piece ( not an extra strip)but they are wide on the ends. The orange peel is also pieced in, not applique on, as someone above suggested. So would this block be called a version of the Robbing Peter to Pay Paul since it has the squares at the corners of the block?
A friend sent me this and asked if I knew the block. I told her no but I’d try to find out from you Quilter’s because you are so knowledgeable. Thank you all for getting us this far. What a great forum!