You needed to register with MD for withholding taxes. They give you the number - not sure if it's the same as unemployment as we aren't registered for that since we live in DC and our nanny lives in MD. You should give her the w-2 without for the time being so she can do her taxes. For us, it took about a month to get the letter with our number.
Make sure you are also submitting the w-2 to SSA. You don't NEED to have a p/r service, but you do need to stay on top of things so for some it makes more sense to hire either p/r service or accountant. I'm a cpa so it's a cakewalk for me
