@alisha-- What you have is a complex migraine. There are also sub-categories depending on your symptoms. I, for example, have hemiplegic migraines that cause numbness in my fingers, arms and face.
I think the type of numbness that we both experience is anesthesia. I can move my arm and face, I just can't feel anything when I touch them.
I'm not sure what the cause of the migraine and numbness is in your case but hemiplegic migraines are genetic. My body doesn't produce a protein that's required for nerve function and health. This is what brings on the migraines, followed by numbness.
You need to see a doctor if these persist so that you can get a diagnosis. There are some treatments like nitroglycerin that help with the symptoms.