4.54 bya
The Earth
Molten, airless, and still being hit by the material it was assembled from.
Everything else on this wall happens on this planet. For most of the length of it, the only things alive are the ones this museum collects.
Dated from meteorites rather than from the Earth, because the Earth recycles its own crust and has kept no rock this old. The oldest surviving Earth minerals are zircon grains a little over 4.4 billion years old.