I actually had the same problem, and it was a blown fuse. On my TR3, ignition is indeed fused. Now keep in mind that my car was restored by a previous owner, and it's possible that it's not supposed to be fused.
But my impression was that the ammeter is fused, and when that fuse blows, zero juice Mr.Spruce Goose! On my old TR-250, I once was baffled for days when I had no juice, but the battery was fine -- turned out the ammeter had blown, and putting the wires to a single terminal on the back of the ammeter solved things.
But I would trust Geo that on TR3s it isn't supposed to be fused.