You mother does have a right to make you leave. However, she has to do it in the proper, legal way, and that does not include simply locking or boarding up the doors, windows, etc. She does first need to provide you a notice to quit, or leave. (Note: it  doesn't matter whether or not its notarized.) However, if you then do not leave, she needs to go through the courts to get first a judgment of possession (a legal determination that you have to leave and she has possession of the house) and then, if you still don't go, a warrant or writ of removal directing the constable or sheriff or similar officer to lock you out. She can't do it herself.In theory, you bring a legal action to get back into the premises; she can then, however, evict you the proper way fairly soon again, she she does not have to let you live there. It may not be worth the time, cost, and effort therefore to do this.