UPDATE.
Just about 10 minutes ago, we replaced the battery and got her running.
Checked the mileage, and it's actually 68,906.
We re-inflated all the tires except for the right-rear tire, because it's blown.
We've got an extra that looks like it fits and we're going to try and get the rim mounted on it after this weekend.
It's actually kind of a hot car now that some of the junk is cleared away from it and we saw in in broad daylight again.
Still $1500, but now it's running
