Beautiful Prescott Square Apartments. Nestled in the hills of Pikesville, yet moments from the metro to downtown Baltimore, Prescott Square offers spacious two bedroom apartment homes with full amenities such as updated kitchens that include stove, refrigerator, dishwasher, garbage disposal and washer/dryers (in some units). Get comfortable in our LARGE living rooms and open floor plans. Our professional staff is dedicated to making Prescott Square comfortable and convenient. Each apartment has a patio/balcony, large living spaces and plenty of closets. Close to public transportation/Old Court Metro Station Prescott Square is an apartment community located in Baltimore County and the 21208 ZIP Code. This area is served by the Baltimore County Public Schools attendance zone.