Corporate Acquisitions Sell our Timeshares Las Vegas, Nebraska

This company had left a message about buying our timeshares, we do have them listed for sale so I called them back, for 3 timeshares they said I would get $76,000, what a great deal! I would have to wire transfer them $3,200 but I would get that back when I got the check in 45 days. They asked if they could start the title search and I said "Yes".
After discussing it with my husband and friends who we own the timeshares with we decided it was a ripe off and we really did not have the $3,200 to give them. I called to tell them I could not proceed, I left a voice message.
Chris Hill then called me back and said they had recorded me giving a verbal agreement to start the title search and I would owe them $2,400 since they had started doing that. I said I never signed a contract and they could not make me pay. He said they could put it against my credit score as none payment.
Do not talk to these people!