I agree, that is strange.
As a side note, bars and probably by extension, strip clubs in Houston must close at 2:00 am (technically, they can stay open longer but since they cant sell or allow any alcohol to be consumed on site after 2:00 am, there is no profit to it).
Strip joints are also held to stricter standards. Violations of any kind, no matter how minor- or even if the venue is arguably not at fault, are quickly noted and recorded. A certain umber of "points" results in the owner losing his license.
As a result, my guess is that the place where she worked started shutting down at say 1:45 am in order to be fully and obviously closed by 2:00 am.
Some employees have clean up duties which an experienced bar tendress (non strip joint) once told me can last between 30 minutes and 90 minutes depending on the place.
My guess, however, is that "exotic dancers" might be separate from support staff and thus not have clean up duties. Rather, they might leave after their last, well, "performance" in the rotation.
In the end, if the victim was the last dancer, she was off at at 1:45- or earlier if she had finished her rotation. Even if she had long clean up duties, she would have been through by say 3:30 at the latest.