Hello Red M. and Jamey
Yours is a beautiful piece of fossil coral, the type unlike red coral but which is composed of the small floral-patterned elements that can be found more like a very perforated decorated sponge structure. The solid fossilised sponge has formed when all the apertures are filled with what becomes stone.
Unless I'm wrong, the "Sange Mariam" stone is a conglomerate of deposits of small carcasses or life forms that have fallen together and become petrified in a random pattern, in this case, like the blue lias strata in the cliffs of the south west coast of Britain which are filled with millions of tiny organisms and often ammonites.
So technically its fossil stone, while yours is a fossil itself.

The "Faience" donkey bead is made in Qom in Iran.

Stefany