I guess Ma is
Mother Earth
The specific years and the month refer to
being a red herring
The specific times refer to
the fact that Mother Earth turns by 1 degree every four minutes.
So:
At 1:12 am each day, she turned 18 degrees since 0:00, and at 2:16 am each day she turned 34 degrees.
The only thing that might not add up in this suggested solution is
hint 3, since for my suggested answer you do not need silly clocks, but preferably ordinary and precise ones.
Addition, after DrD explained:
Someone provides several 'silly clocks' online, including a 'degree clock'. So I take it hint 3 was rather a nudge to look at the silly clocks and get an idea than a requirement to interpret the time stamps in any strange way.