You can create a Facebook page easily. Just click on the create a page on your Facebook profile and give a name of your page. Use an unique link for your page and then submit.
I can't find anywhere that they ask you for your name. All i can see is that they are asking you for the name of the business. Because i think that since you already have a facebook account of your personal identity, then i don't think that they would ask you for your name. Other wise if you are trying to make a page without having a personal account then you need to type in your name. Other companies also have to type in the name of the person who is handling the page. Obviously other companies also give the contract to handle their social media marketing to someone else. Or they have someone in their own offices to handle it.