Assuming you have a typical 10SI GM altenator as that year should have---
You must have 12V at both of the small wires on the plug that goes in the altenator with it running,test it with a test lamp or voltmeter...12V should also be present at the large stud at the back the big red wire goes on also...(always with key on or not)..if that wire is dead,it might be cut,grounded from being melted to the engine,or more likely,the fusible link in it has failed,sometimes they dont burn out completely and will let a limited amount of current pass thru it,which will cause trouble ..)
One of the two smaller wires in the small plug is hot only when the key is on,its usually a white wire..the other ,a brown or tan one ,is hot all the time...
I bet no current is going to the white wire,or not enough,that is what energizes the feild coil in the altenator and makes it start charging,sometimes when you go to touch the test lamp to that wire you'll hear it kick in and the engine slow down a bit..or the fusible links at the starter have been fried or half fried,there are 2 of them in the red wires ,those power the fuse box and everything under the hood,there might be another one near the power brake booster also...
It would be rare to get two defective altenators in a row,especially if both do the same thing...its probably a bad wire or fusible link,or bad grounds ..