Gradual cooling of the earth

Not a single rock you'll find at the bottom of a lake was formed during the initial "cooling" of the planet after its formation.The Earth's surface, the part we stand on, is constantly being recreated via several processes, including sedimentary rock formation, volcanism, and more.The Earth is not like a single rock in space that was once molten and is now solid. It's still mostly molten, in fact, relatively just beneath the surface. And the crust is continuously being forced back down into the mantle at subduction zones and being recreated. It's why you can't ever find a rock that "cooled" at the time the planet formed.It sounds to me like your entire understanding of geology is based on some very wrong information.

That's a possibility.I don't know much about your area specifically or its geological history. Rocks wind up where they are for all sorts of reasons, from glaciers to volcanic ejection to sediment deposition forming in-place to kids throwing rocks into a lake. Accurate, but imprecise.The "original cooling" idea itself is based on a misconception. The Earth was not a big ball of homogenous magma that cooled into a rock. Most of the Earth is still molten, and it's far from homogenous. Only the crust, the thin outer layer is actually solid. The Earth is like a cracked eggshell, with all the pieces floating on the liquid innards, moving with thermal convection currents. That's why we have mountains and earthquakes and volcanoes.All rocks on the surface today are significantly younger than the age of the Earth itself. None of them date back to the planet's formation. The tectonic plates that make up the crust are constantly moving; where they push together, they often wind up pushing one or both plates down into the mantle. The rock reverts to magma. There are also a few points where the plates are driven apart by constantly emerging magma, which forms new crust. And of course we also have volcanoes. There are no rocks you can find on the surface today that have been those specific rocks since the very first crust of the Earth. All of the rocks have been recycled back into the mantle and eventually back out to form new crust.And also remember that there are three types of rocks: igneous, sedimentary, and metamorphic. Only volcanic rock forms from cooling magma.