You do not report a dependent's earned income on your tax return from a W-2 or a Form 1099-MISC.
The dependent can file their own income tax return to report the income received. They indicate on their return that they can be claimed as a dependent. A tax return is required to be filed if the income reported on the 1099-MISC is $400 or more. If the amount received is entered in box 7 of the 1099 then a Schedule C for self-employment has to be filed reporting the income and expenses for the self-employment.
To file a separate return for your dependent you need to set up a new account. Online is only good for one return per account. You can use the same email address for 5 accounts.
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Be sure on their return they check the box that says they can be claimed on someone else’s return. And depending on their age and how much income they have and if they are a full time student you might not be able to claim them as a dependent.