person doing babysiting can use which form to show her return if she got 1099-MISC form from her employer?

Answer 1

1040 Schedules C (or C-EZ) and SE.

Answer 2

You'll use a schedule C (or probably a C-EZ) to show the income and any eligible related expenses (did you provide food for the child you were babysitting?). Then you'll use schedule SE to calculate your self-employment tax, for social security and medicare taxes. The numbers from the bottom of these two schedules will transfer to form 1040.