Is This Lease Transfer/Buyout Legit?

I listed my leased car for sale online. Someone contacted me and came to see my car. She said she will buy my car outright. She seems a little over enthusiastic. I saw her email signature that she works for a dealership. The dealership is Vancouver Auto Liquidation Center. I asked her if she is a dealer and she said she does work in a dealership but she is looking for a car for her personal use. She said she will arrange the money and close the deal tomorrow. I asked if we need to schedule an appointment at Mercedes Benz dealership to do the transfer. She said she could do it through the dealership that she works for. Have you heard of something like this? Is this a scam? I have a weird feeling about this. But Mercedes Benz Financial Service did say that they cannot do the transfer, and I will need to do it at my local Mercedes Benz dealership since they have the license to do the transfer. So it might make sense that the lady's dealership has the license to do the transfer, but I feel like this is unconventional and not what I expect. What do you suggest? Should I go through with the deal? Is this a well-known scam?