The online Self-Employed edition supports Form 1040 Schedule C for a sole proprietor, with or without employees.
FYI The Online Self Employed version is the new name for the Home & Business version. It is still called Home & Business in the Desktop program.
being Freelance or independent contractor, outside consultant, sub-contractor, sole proprietor, self employed, etc. are all the same thing. You need to fill out schedule C for self employment business income. You are considered to have your own business for it. YOU are the business.
Oh If Employee Expenses doesn't show up in the list of expenses, you need to go back to the Business Profile section and click Edit by Has Employees and change it to yes.
Go to Business tab- then Continue
Business Income and Expenses - Click the Start or Update button
You should see the Business Summary page that lists your businesses, (right below the list you can Add Another Business)
Then click EDIT by the business name and the next screen should be a list of topics,
Business Profile, Income, Inventory/Cost of Goods Sold, Expenses, Assets, and Final Details last.
Click Start or Update by Business Profile
Then Click Edit by Has Employees and change it to yes.