It looks like she has been using her charm and charisma to get several weeks of work out of you and now wants you to sign over the name (the only thing you currently have a claim to) and leave you holding the bag. She and her attorney have evidently come to the conculsion that she doesn't need you, or at least they don't see a role for you in the new company and, unless you can formulate such a role, are evidently ready to cut you loose.
You should ask for a long-term contract or significant ownership (stock). Without something concrete like this, it appears that it is nothing but smoke and mirrors.
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