How to associate credit card payment with vendor

When we get a credit card statement, our accounts payable person pays the credit card company as the vendor. She assigns the individual charges to accounts in the CoA, but nowhere is there an association to the actual vendor. For example, if I charge a printing order on my credit card, and the vendor is Joe's Printing, she pays the credit card company and I can't see that I have purchased anything when I look at Joe's vendor record.

She assures me that this is the way it is supposed to be done, but when I am trying to negotiate a better deal from Joe, I have no way to tell what we have spent with him either for individual jobs or our total expenditures with him.