Many institutions have policies set between the neurology and neurosurgical services to make sure issues like this don't go unresolved. Small neurology services that are primarily consult-based and don't have access to a dedicated neuroICU might balk at these cases. I'm a neurology resident in Boston, and our neurology service takes deep hemorrhages like this one, which from your brief story sounds likely to be a hypertensive basal ganglia or thalamic bleed.
All these patients go to the neuroICU for at least 24 hours for high frequency neuro-checks and BP management. They should all get a-lines. For blood pressure management, we prefer labetalol acutely -- just keep doubling the IV push dose until you get it down. We don't like hydralazine because it is a venodilator and can raise ICP, although that is a general rule and ICP management shouldn't be an issue in this case. If the BP keeps jumping back up, we usually start a nicardipine gtt, but it usually is tough for the ED to get super quickly, and the ED nurses aren't usually very familiar with the dosing.
One last note, these small "classic hypertensive hemorrhages" can burn you sometimes, and we routinely get a CTA to ensure there isn't an AVM underlying the hemorrhage.