add name field with email to invite block
I'm not exactly positive if this is what you're asking, so if I misunderstood the question, just let me know.

You can add any field you want to the user registration forms if you go right here on your site: /admin/config/people/accounts/fields

So even though there are not any 'First name' or 'Last name' fields by default, you can add anything you want and then get to those fields through views...

Does that help?