12:01 is minute #1 (the first minute that is clearly on a given day) I see it all the time when computers generate time stamps, and there’s something wrong with the program.
For a databse in use today to record a time-stamp at ONE minute part midnight, it would either of had to occurred that way or be hard-code that way.
Furthermore, the 12:01am time-stamp being published could also be an ERROR from the hourmalist writting th report. If Wikipeida provided the value initially, then I would have expected them to output the time part of it in format HH24:MI:SS or HH12:MI:SS A.M. But intead we see HH12:MI A.M.
Please also note, the time-stamp that Fox News is reporting is really 4:01 a.m., not the 12:01 EST that the article first states. This is because the default time-zone for all of Wikipedia is GMT. Thus Wikipedia is saying that the post was made at 4:01 am GMT, which is 12:01 am EST.
It may very well be that the poster waited until after midnight to post the death announcement, not realizing that the timestamp is really part of the data stamp.