The simplest way to find out how to find out when the last payment/activity was made on the account is to ask for a statement of account. You probably won't get it, but at least they aren't permitted to call you until they provide it.
Try to contact the original creditor for the statements as well.
Say something to the effect of "I have recently been receiving calls for payment of an unpaid credit card balance I'm told belongs to me. I would like some more information about this account it is alleged I owe. Can you please send me statements of account... for the last few months should be good... and any other information that will help me figure out what is going on?"
Go from there.

