a question relative to the invoice

The laboratory I worked with may receive the invoice of my purchase on your www site. For that I have to set the billing address attached to the lab.

In order to receive the xem at home (different country) I have to set the shipping address.

The question is, at wich name the invoice is done ? The one on the billing address ? the one on the shipping adress ? The one that pays with the mastercad ?