Hi Dave,
Kinda looks like the end of a whole pork loin. If she cut chops from it, that's my best guess on what it is.
I cook those on the wsm all the time, but I don't bother with low and slow because the meat is already very tender and does not have a lot of fat and connective tissue.
I run the wsm at about 350. I ususally will brine the pork for a few hours beforehand just to give me a saftey net for drying out, cause it will dry out if you leave it on there too long.
I just cook it to the safe internal temp of pork, what is it, 145 I think. So I'd take it to 150 probably, pull it off, wrap in foil, and let it rest for 15-20 minutes, then just carve it up in 1/2 to 1" chops and serve.
I did a whole loin a couple weeks ago, it was 9lbs to start with. I cut it in half and put the two 4.5 pounders on the top rack side by side. It only took about 1.5 hours at 350 to reach safe temp.
Todd