Run, don't walk, from these people. Your instincts are probably right. As you know, virtually everyone and everything is on the net.
You can ask them what state they're incorporated in, and check on-line with that state's secretary of state's listing of corporations. You can also ask what state their attorneys are admitted in, and check on-line with that state's bar admissions listings.
The corporation and the attorneys should be listed in every state where they do business. These people sound like they belong in jail. If they don't check out on line, call the police.
DISCLAIMER - THIS IS NOT LEGAL ADVICE, AND NO ATTORNEY-CLIENT RELATIONSHIP IS CREATED. THIS IS FOR GENERAL INFORMATION PURPOSES ONLY.