In the “Frontpage -> WooCommerce Pages” section (of the plugin panel options), you can set where you want to show the name of the product’s vendor, if available.
The vendor name can be showed in the pages “shop”, “product detail”, “product category”, “cart”, “checkout”, “my account” and in the tab “orders”.
Product detail page
Product category page
If you want to visualize, right inside single product details page, the quantity of current sold out products you must activate “Show “Item sold” information in single product page”.