Interesting question. I don't know if anybody bothered to keep track though. Apart from it being a maiden voyage, it wasn't as if they were expecting to make history.
Regarding times, I've seen this debated several times. The problem is that they didn't keep track by way of established time zones, but by way of data obtained from the noontime navigation fix. One proposal I saw kicked around on the Titanic Mailing List held the Titanic sank at 11:30 New York time. If this is true, that would be 10:30 Central on the 14th.
Take this with a large boulder of salt though as I'm relating second hand information, and I could be way wrong.
Cordially,
Michael H. Standart