The second block is sometimes called "Improved Nine-Patch." It could be assembled with 'football' shapes between or crescent pieces on four sides to make a square. When joined the squares made the illusion of circles.
I'd guess they were for two different quilts but you could assemble them as you please. Make a center with all the nine-patches and surround them with the Dresden plates, e.g.
Improved Nine Patch Set
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