Ron said:
The left side of the firebox floor looks like it has heaved. The right side of the hearth is relatively flush, but has moved away from the chimney (apparently) more than the left side. How long did it take for this to happen?
Looks like heaved, but I'm not sure it actually did, or at least not much. It's a play on the eyes from the crack being so crazy wide. Here's another pic:
Ron said:
Is the chimney on or near a slope?
Nope. There is a basement below the floor system but the chimney itself is part of the foundation. It seems rock solid (pun not intentional but quite appropriate).
Ron said:
Is the hearth on or near an opposite slope?
Hearth is framed around by double wood joists with wood below, and concrete poured above. The garage door was supported on this. The framing in this area has sloped down and away towards the middle of the house, creating the crack. see:
Not the best pic, but look hard and you'll see the left double joist (with a ledger stuck on it so it looks like 3), the flat horiz boards under the hearth concrete, tracking for the garage door, the header between the double joists at the end of the conc hearth, the shortened joists, and the yellow hooks for the ladder. You can also just see the top of the cleanout in the river stone wall at the bottom left-middle of the pic.
Ron said:
Is there any separation between the hearth and the wood structure?
None at all, that I can see.
Ron said:
Is there any settlement noted in other portions of the structure?
There's a lot on the porch, which is the other side of this wall, but the porch is clearly falling away from the rest of the house and the chimney, which are strong.
Ron said:
Is the structure supported on piers?
Nope. Whole house is river stone foundation.
Please remember: we're not all guys!