I'm renting a room month-to-month, can I leave?

[David_Bunneh]

I am renting a room month to month here in Michigan with no written agreement. I got a new job offer and wish to leave to move back with my family, and the lady who owns the house insists I should pay her an extra month that I'm not going to live here cause it's not enough notice. Is that right? Can she do that?
I guess part what gets me is she's selling the house, she could have kicked me out at any time.
Since this is her house, is this a difference between lodging and being a tenant?