12H (T) engine? Right?
Check the + and - cables on the battery post for corrosion and clean them with sanding paper.
Check the ENGINE fuse, the CHARGE fuse and the FUSIBLE link. See diagram.
Check for corrosion, bad contact(s) and bad or corroded connectors.
A fusible link is a short piece of wire (few inches) close to the battery +B post.
This link will burn up when something goes wrong and protects your harness going up in flames. It's made of heat and fire resistant material so you won't see if it's burned up. Check this link with an ohm meter. Disconnect the + cable from the battery for this test.
There is no separate negative wire from the alternator to the battery.
The alternator housing is negative/ground. Check the ground strap between engine and frame and the negative cable from the battery to the frame for corrosion, bad contact, et cetera.
If the problem is still there, it's time for some Volt measurements.
I think you have this alternator.
Turn the ign key to the "on" position. Check for voltage on the IGN and S terminal. Both should have (battery) voltage.
Rudi