My mother in law is very unhappy with me. I fear the future?

[Kalpana Iyer]

My mother in law from India visited us first time in US and got a cultural shock at home. She is very unhappy with me and thinks I disrespected her. I use to cook very often and give her lot of respect but for her giving respect means talking to her about household kitchen stuff only and not talking much to my father in law. She even thinks that when she is around I should not ask my hubby to help me in the kitchen and only ask her for help and we should cook together. I am working women in US and don't think like this. She has taunted me several times saying this is her house and this is her son's house etc and lot many things like that. Even when having lunch she would ask my hubby if he wants anything but won't ask me. Btw, I never did that. She considers me to be very bad whereas I never back answered her on her taunts. I kept quiet for my husband and also because I did not want her to be insulted in our house. My husband tried to convince her a lot that she needs to change and every time she and my hubby had a talk on this she would behave badly to me and not talk at all. Please tell me if she will change? or she will manage to change my husband. He supported me a lot and was shocked with his mom's behavior. Most importantly, can 2 women live together even if both are nice? Does anyone has experience of living with mom in law and happy? will my mom in law change? or chances are poor?
I want to know if you can live with a good mother in law in one house? or even when she is good you still have problems?