Many thanks for your response @thaikolja.
Your useful plugin allows me to break up my product name into brand and generic name. A product example would be Heinz Baked Beans. I’d place Heinz in the secondary title field and Baked Beans in the default title field. This allows me to style the parts differently.
For permalinks, I was aiming for product/baked-beans-heinz, where product is common base for all my products. This would of course be conditional: no extra hyphen at the end of the product name if the secondary title field is empty. This use case does not appear to be supported by your plugin. Thanks anyway.