selling my house and transferring a mortgage to the new owner?

I would like to sell my mobile home. I have a potential buyer and they were reviewing my mortgage companies website www.vmf.com and saw that there is a thing called a transfer where if they are approved, my mortgage balance can just be transferred to them. I'm concerned about doing that though. If they default on payments, would I be held liable for the money? Also on my credit report, will my mortgage say paid in full or will it say transferred to new owner?