I'm not certain, but I don't believe morning sickness is inherited from the mother. My sister had morning sickness while I did not.
Often a person will stress themselves about being sick to the point they make it true. You mind is very powerful and if you believe a thing will happen to you it generally will.
Try to relax about it a bit. Even if you do get morning sickness, it generally doesn't last through the entire pregnancy and there are a few things you can do to reduce any nausea you may feel.