I have finally found the official name of our first block. The Encyclopedia of Pieced Quilt Patterns that I have used as a source for many of the blocks in the sampler did not have a name for 4 stripes of fabric in each quadrant of the block; they only showed 3. I thought that 4 looked better, so Roman 3 Square became Roman 4 Square.
Yesterday I was looking at some old quilting books and found our block. It is called the Roman Stripe. Maybe now we can find the history of it. Isn't this a lovely variation? You can see more quilts from the Gee's Bend collection here.