No, you do not get a refund. You can get a non-refundable $500 credit for other dependents if you claim a person who lived with you the whole year if they had less than $4700 of income not counting Social Security.
IRS interview to help determine who can be claimed:
https://www.irs.gov/help/ita/who-can-i-claim-as-a-dependent
CREDIT FOR OTHER DEPENDENTS
https://ttlc.intuit.com/questions/4499708-what-is-the-500-credit-for-other-dependents-family-tax-cre...
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