So, they have called our office 4 times over 20 minutes. Each time, they have asked for an employee who either A) Has never worked here, or B) has been employed elsewhere for over a year.
Then when they are told this, they just start asking for "whoever handles telecommunications" (interestingly enough, none of the people they've asked for have had anything to do with telecommunications).
They refused all 8 or 9 times I asked who they were, and called id and Google pull up nothing.

Proceed with caution.