For Federal Taxes:

Online: https://sa.www4.irs.gov/irfof/lang/en/irfofgetstatus.jsp

Or Download Their Mobile App: https://www.irs.gov/uac/irs2goapp

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In Delaware:

Call: (302) 577-8200 

Online: https://dorweb.revenue.delaware.gov/scripts/refinq/refinq.dll

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In Maryland*: 

Call: 410-260-7701 or 1-800-218-8160.

Online: https://interactive.marylandtaxes.com/INDIV/refundstatus/home.aspx

*For both services, you will need your Social Security number and the exact amount of your expected refund.