It does not matter whether your name or your business name is on the 1099-Misc. If you have a business, just add the 1099-Misc exactly the way it's written on the 1099-Misc form, into your business's income section on Schedule C. All the IRS cares about is that the total amount of all of your 1099-Misc forms add up to the total amount of 1099-Misc forms that they received for you and your business.