Sounds like what happened when my batt died.. Like the one guy said, it's supposed to stay above 9.6V upon startup.
If you have a really good digital multimeter you'll have a probe to measure amps that goes by magnetic field that you just clamp around the wire you want to measure amps in. If you've got the luxury of having one of those measure your various wires.. started wire should pull 150-250 if I remember right, and the alt sohuld be putting out around 100 with all the accessories turned on, maybe a little more little less, and also keeping the system voltage between 13.75 and 14.75V.
If you've got a load tester run a load test, and load it till it pulls 1/2 the battery's CCA, and hold it for 15 secs. the voltage should stay above 9.6 there, too, and if it dips below it's no good. If it dips below that just starting I'm guessing your battery will dip way below 9.6 at an even higher load for 15 secs.
If you're still looking for nifty things to test, make sure you're not dropping voltage over the various high-amperage circuits. Test voltage drop between the alt and battery, should be below .4V. Voltage drop should be below .4V on the pos and neg side of the started circuit, too. Make sure to measure all the drops while under load (cranking or heavy charging)
Sounds like the batt for sure though.