This is a version of the you-have-committed-a-crime extortion scam. Beware extortion scams come in many flavors and they constantly evolve.
The FBI warns about payday loan extortion scams here http://www.fbi.gov/news/pressrel/press-releases/paydayloanscam_120710
The BBB has issued several alerts on this scam, just google "bbb.org alert phony debt collector"
Never do what they tell you to do but report them to the Internet Crime Complaint Center http://www.ic3.gov/complaint/default.aspx , the Federal Communications Commission http://esupport.fcc.gov/complaints.htm , the Federal Trade Commission https://www.ftccomplaintassistant.gov/ and your state AG, as appropriate.
There is something your mom can do. The next time they call up, tell your mom to hold the phone really close to the smoke alarm and press the "test" button.
Yes please include me as well i got a call from a Mr Anderson i fell for it though as i was scared that he was going to contact my employer i sent him a statement that i would pay that was on 7/21/11 but today 7/22 i put a stop to my debit card and since i sent them the information they requested they have since deducted 200.00 from my debit card a company under CFS. Do fall for it like i did but yes i filed a fraud alert on my credit report and filed a complaint with FTC bureau of consumer and will file a police report on my id since it has technically has been stolen because of my hestating to resolve something that i should have know was a scam.