Unfortunately, you cannot remove either Remoly Invoicing's name or your own name from the invoices.
Since Remoly Invoicing is the official entity used for invoicing, its name must appear on all official documents, including invoices. The format on the invoice will be: "Remoly Invoicing - [Your Name]."
As you are part of the service partnership, both your name and Remoly Invoicing's name are required on the invoice.
To make your brand more visible on the invoice, you can add your logo via Income -> Invoice Settings.