She would just write a will and it would go to you. For her own interests, she probably shouldn't sign it entirely over to you. You could fall out, she could be evicted and left homeless.
If she wanted you to benefit from some of the money now, perhaps she should sell the house, downgrade to something smaller and any profit made could be passed onto you.
Incidentally, there wouldn't be any problem transferring the property to you. You and your mother would need to see a solicitor and have the deeds and land registry transferred into your name.