The standard deduction in NY for a non-resident dependent is $3100 (2016). Since your daughter's $2000 NY income is below her standard deduction, she is not required to file an NY return.
Similarly, the filing threshold for a single filer under age 65 in GA is $5,000. Assuming the $2000 was her only 2016 income, she is not required to file a GA return either.
Although not required by either state, if state taxes were withheld from her pay, she would have to file a return if she wanted a refund of those withholdings..
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
