All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger.
If this house belongs to your mother as you mentioned in the question, then she has the right to drive you out of it because she is not obligated to let you dwell in it. However, it is acceptable to try in a nice manner to convince her to let you live with her. You may seek the help of some righteous people to convince her. If she agrees, praise be to Allaah, and if she refuses, you should try to find another accommodation even by renting. Besides, you should be keen to find an accommodation close to the house of your mother so that you may visit her and take care of her often.
Allaah Knows best.