Is there a stone that weeps?

I just finished watching the Pillars of the Earth miniseries and in episode 7 there is a "stone that weeps at night." I am guessing that this is a white mineral that absorbs moisture when it is heated by the sunlight, then at night when it cools it releases the moisture and appears to weep. I am just curious if this mineral actually exists or if it is something the writers made up for the story. I tried Google and found nothing. Does anyone know?Is there a stone that weeps?
Just made up for the story.

.Is there a stone that weeps?
The myth of the Greek goddess Niobe involves a natural outcropping of porous limestone that will absorb rain and moisture and that water will seep out of the rock as temperatures and humidity levels change.

Porous limestone does exist, but for it to "weep" requires the right conditions.Is there a stone that weeps?
I have no idea



But Dante, mine cries when I leave it alone.
my pet rock cries when i forget to feed it if that helps