The author of the article doesn't have a user on the site- can I just edit the name?
When you open the quick edit of the post, you can change the post author there.
Thanks but for me it is not there
Please send us WordPress dashboard access privately thru the contact form, which is on the right side at http://themeforest.net/user/muffingroup#contact and we will check what might be the reason.
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Do you have any other user-created for your website?
I noticed only the administrator account, and that is why you cannot change the author of the post.
You should create a new user under Users -> Add New.