1994 Lincoln Mark VIII charging problem

Just over a year ago my alternator died on my and I replaced it with a brand new one. Just last week my battery died and I checked it and turned out it had a bad cell so I replaced the battery. And now the new battery has drained. I know its possible the alternator could be bad again but I haven't been able to run any tests on it yet. Could the problem be caused by my ground line? If the line it cut somewhere could this be the problem?

Thanks for your help!