No government issued photo ID = no air travel.
I m afraid your friend won t be able to travel any where unless she has a state or federal ID , airlines , bus , and trains .By some chance , if your friend went to Las Vegas with you the retails outlets and casinos will ask for ID if she does not produce ID she will get arrested for the time being and will be fined ,if she cannot prove if she is a US citizen they will hold her until they find out who she is , all states are like this it s not just Las Vegas either
The answer seems to be NO. The first helper suggested to use Greyhound.com (the bus).There are 4 departures a day to Las Vegas and 2 towards Houston. It takes around 36 hours for a full one way trip. It cost around $200 with a 21 days tickets paid in advance instead of $306 if bought at the last minute.
Your friend can travel to Las Vegas on Greyhound bus. To get on any airline in the US, you must provide TSA with a government issued identification card or a passport. Sorry... the world has changed.
Your friend is illegally in the USA. She must return to her country. If she turns herself in to the INS they will get her back home.
To get on any plane she needs a valid ID, like passport or driver s license