Yes. You can claim your child as a dependent if you meet all of the requirements. Regardless of whether your child qualifies to be your dependent, her W2 would NOT go on your tax return; it would go on her return if she files a tax return.
Please refer to the chart on page 12 of pub 501 to see if you meet the
requirements to claim your child as a dependent. Please note that there are
requirements listed above the qualifying child and qualifying relative
sections, and those requirements must be met as well. https://www.irs.gov/pub/irs-pdf/p501.pdf.
Additionally, please refer to the following FAQs to determine if your child is required to file a tax return. https://ttlc.intuit.com/replies/3302185 https://ttlc.intuit.com/replies/4801666
