The large grocery stores can have their own name on the label and that is called "private label" or they can stock national brands. Del monte is a national label and Coca-Cola is a world known label.
But gourmet cooks can make their own food and put a label on the bottle, too. That is also called "private Label'.
Large manufacturers can put another label on their product and it becomes a "private label." You would be surprised how chocolate is marketed around the world. Many times, it's the same chocolate, but with different label names.