We have a customer with Deluxe hosting with Godaddy. They have several sites running on separate hosting packages and we were able to combine both websites on to one hosting package.
The big trick was directing the domain to the right folder in the Public HTML folder. In the CPanel navigate to Domains >> Addon Domains.
Next to the Domain name you want to change click the Pencil icon next to the Document Root. Here you can enter the name of the new directory/folder you want this site to live.
Let us know if this helped you….