Well... there is good news and bad news.
There is an issue with including the website/url field in the email notification process. I am planning a bug fix release to fix some minor issues, and I think I can work in a fix for this.
That's the good news. The bad news is that there is no known issue with the name fields. These are working in the test and production systems. So I'm not sure why they wouldn't be working for you. Is the data being properly recorded otherwise? i.e. is the name field being recorded for the user and it's just not showing in the email?
Last thing, and this is more an aside since you did not indicate it as an issue. If the user who is going to be activating users and/or otherwise working with user data and they are not an admin, you may need to work with one of the role manager plugins and add user management capabilities to the user's role. With a standard WP installation, the users below the admin do not have the ability to edit user data (which you need to activate a user with the WP-Members plugin).