The federal schedule H is to handle the Medicare and Social Security taxes that an employer must pay. There is no state equivalent to that.
You are not required to withhold state wages on an employee. If you did, that would have been reported on their W2 and you would have paid it to the state as an employer, as part of the withholding tax.
Business Taxes| Employer Withholding - Comptroller of Maryland
You do not report state tax regarding your nanny on your MD personal return.
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