Well, I'm not sure I'm seeing what you're seeing, but there is a lot of the world in those two pieces of Chert.
The Native Americans have been using it for thousands of years. Because of the "Conchoidal fractures" on the white piece I'm tempted, but won't, call it an artifact. It looks like it 'may' have been chipped on a little bit, maybe, and it looks like two nice impressions of sea shells.
Chert is a very undeservedly underrated rock. I think people hear Chert, rhymes with Dirt, so it can't be worth much. It is an abundant sedimentary form of Silica,(Quartz), found all over the Earth, and you have it all around where you live. Lots of Good Chert, too!
Some Cherts can look very much like Agate, and people love to argue about if it's an Agate that looks like Chert.

I like to try and illustrate the formation of Chert by comparing it to Petrified Wood. The wood gets buried by some landslide, flood, or volcanic ash and Silica slowing filters down through whatever is above, and over millions of years replaces the wood with Quartz, or Silica. Chert is the same sedimentary formation. It will filter down and collect on many and any a different hard enough surface, fill cracks in hard rock, or just create a large layer deep under some body of water.
Chert is found all over the world and some of the hundreds of different shapes of the formations are notorious for being called Effigies, Carvings, Relics, and Fairy Stones.
You do not want to "underrate", Chert.

Here's a Wiki-link and a Geology.com link. Very interesting stuff. I'd read all of both of them as you have time.
https://en.wikipedia.org/wiki/Cherthttps://geology.com/rocks/chert.shtml