Same problem - and worse - with my Carlton.
it would drain overnight and even after a full charge, wouldn't start the car twice in a day.
Repaced starter motor, then alternator.
Replaced battery, still the same.
Voltage readings were spot on.
After a few months, I renewed all the wiring (because GM wire of that era is crap, it corrodes inside the sheathing and goes hard) from battery - alternator - starter and still did it.
Took new battery (a 18 months old by then) to be checked, 12V as it should be, but not many amps.
Tester showed me that there was one (or more) dead cells.
OK, so bought a bigger battery - Varta 70A, but higher CCA than old Carlton battery. Alternator charges it just fine.
He said the reason that the old battery could have worn out so quickly was dodgy main cables (the ones I had replaced after fitting previous) battery, or (and to be honest, more likely), bought a duff battery to start with.