Ok, I guess I understand now.
The picture that initially fell, it's a goner; the glass is broken, and the frame came apart.

The ceramic medallion, other than a little chipping around the edge, mostly on the back of it, I think I can glue back together, as the major break is just straight across it, and none of the chippage seems to be along that major break. Which pleases me, because the initial picture was a hand-me-down, but the medallion was a housewarming gift when we first moved here.
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You can see a tiny bit of the chipping damage on the left side, but it doesn't mar the look of it too much. I'll get my handy-dandy husband to glue it back together for me when he gets home.. and see if anything can be done about the bent/broken hanger on the back.
Andria