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Only one of you can claim the baby on their return.  A dependent cannot have a dependent.  So if you are able to claim your daughter, you also claim the child. You would then get the $4050 personal exemptions for your daughter and her child and be eligible for the child-related credits such as child tax credit and EIC.   If your daughter makes over $4050 for 2017, then you cannot claim your daughter.  If you claim daughter as your dependent, she does not get the $4050 personal exemption--but it will not matter since she will now owe tax anyhow.  She also would not get EIC or Child Tax Credit if she is your dependent.  I would not characterize it as "hurting" her--you are supporting her and her child.  You do what the tax law dictates.
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