A debt collector will have more details than name and address. They would likely have employment history, next of kin, etc because that would be on the credit file. They might not have said where they were from because, due to the Privacy Act, they can't disclose the debt to a third party. That would include a spouse.
I currently have a debt collector after me (long story, but we're not at fault thankfully) and they will tell Dh the name of the company, what it is about, etc when he asks before putting them onto me. We also had a debt collector years ago for an account in DH's name, who did the same, but they never had details on emplopyment details, or anything like that. they tried to get those details out of me, but never succeeded in that.
I still find it dodgy that they wont say the company name when LMS answered the phone.