Displaying brand title on brand listing

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I'm trying to get the brand title to display above each brand category instead of a list of brands at the top of the products, is this possible? I'm using the Brand Listing menu and have unsuccessfully tried various settings. Please note the URL is behind a protected directory as it's a test site.

Current layout
Brand A Brand B Brand C
Brand A product 1 Brand A product 2 Brand A product 3
Brand B product 1 Brand B product 2 Brand B product 3
Brand C product 1 Brand C product 2 Brand C product 3

Required layout
Brand A
Brand A product 1 Brand A product 2 Brand A product 3
Brand B
Brand B product 1 Brand B product 2 Brand B product 3
Brand C
Brand C product 1 Brand C product 2 Brand C product 3

Thank you for your reply, I have set the Brand Menu Listing/Product Option/Data Display/Sub elements filter to 'Grouped by Category'. But this now displays the Product Category not the Brand Category

New Layout
Category X
Brand A product 1 Brand A product 2 Brand A product 3
Category Y
Brand B product 1 Brand B product 2 Brand B product 3
Category Z
Brand C product 1 Brand C product 2 Brand C product 3

Required Layout
Brand A
Brand A product 1 Brand A product 2 Brand A product 3
Brand B
Brand B product 1 Brand B product 2 Brand B product 3
Brand C
Brand C product 1 Brand C product 2 Brand C product 3

I've attached a screen print of the new layout, note that the Product Category is 'Artist Name' e.g. 'Jennifer Allen' and the Brand Category is 'by Artist Name' e.g. 'by Jennifer Allen'.

Thank you for your reply, however this is how the Brand Menu item is set up already. See the attachments for screen prints of the menu item set up and the brand (Artist) setup.
I've tried deleting the Brand categories and recreating them but it's still the same result, only the Product Category headings display. Each product is set up with a Product Category of 'Artist Name' and the Brand of 'by Artist Name' as shown on the third attachment.

The menu id was correct at 990. I've sent the site login details via your contact form

Thank you for the update Nicolas, it's always good to know that I'm trying to do the impossible or at least more work than I had planned. I'll probably just switch to the Category/Product layout.

Thank you for all the prompt replies.