About the time stamp on her last tweet: looking at the twitter code there's a unix time value the tweet's been stamped with <span*class="_timestamp js-short-timestamp "*data-long-form="true"*data-time-ms="1402117973000"*data-time="1402117973"> (the data-time="" piece of info in this span element)
I plugged 1402117973 into Wolfram Alpha's handy dandy Unix Timestamp Converter Widget and converted it to EST. The result is 1:12:43 a.m.
Link to the converter is here if anyone is interested, could be very handy tracking tweet time stamps in the future if one's so inclined:
http://www.wolframalpha.com/widgets/view.jsp?id=8ca070cc474c02335277c16ce15a469b
edited to add why this is useful: the conversion twitter does to real clock #s is confusing (as shown above) because it varies based on all sorts of variables like whether or not a user is logged in, possibly what their twitter account default time zone is, etc. The unix stamp is the key piece data that all of the variable time stamps that are displayed are based on. Hope that makes sense!