Any one of us could have been arrested that way and important details were left out. There are two extremes to the scenario and any combination is possible.
"False" name given to hotel: Tiffany Andrews (for example)
Name given to police: Mike Andrews (name on ID)
Prescription drug: estradiol, 30 day supply, in original bottle
Unpaid fine: $100 for running a red light
Or
"False" name given to hotel: Tiffany Andrews (for example)
Name given to police: Tiffany Smith (not on ID)
Prescription drug: oxycontin, 500 doses
Unpaid fine: $10000 for selling marijuana
The fact that the details weren't produced leads me to think that the first was more likely. Police reports generally list anything which makes them look more effective. The comments on the article, as usual, are better left unread.
Thanks for posting this, it suggests some useful, if sad, safety measures. Present at hotels to match your ID. Use the name on that ID. You can request that they use your preferred name when they speak to you. Always travel with your medications in their original packaging. You can never know what a region is like when you stop for the night.
Be safe out there!
P.S: I just read Meghan's response. Sounds like she did everything as right as she could. He picture shows that she could never present male effectively. I would have never have thought to have a copy of the prescription. Unless it's a controlled substance most doctors phone, fax or email prescriptions to the pharmacy. I don't recall the last time I had a paper copy of a script to present. Frankly, this makes me concerned about travelling at all, particularly across borders.