Just a quick follow up: Since first posting this experience back in January 2014, these same people have contacted me several additional times including today. Each time I try to get more information, and it's apparent they represent one of several "phone tech support scams."

Here's an example of how they work: Phone scammers call the wrong guy, get mad and trash PC, April 11, 2013

Important: Do not download remote access software (TeamViewer - a legitimate Windows/Mac program - is what they tried to get me to use) and grant computer access to anyone you cannot absolutely verify.