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She will not be able to use 1040-EZ to file because they have paid her as if she owns her own business. She will need to file a form 1040 and attach a Schedule C (or Schedule C-EZ) to report the income from the 1099. You will also be able to deduct any expenses that were incurred to earn that income; such as mileage, supplies, etc. The net income from Schedule C flows to line 12 of the 1040.
The down side of this situation is that the income from a business is also subject to self-employment tax. If she earned more than $400 after expenses, she will need to attach form SE to calculate the self-employment tax. The self-employment tax is reported on line 56 of the 1040.